TSTP Solution File: GRP292-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP292-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n017.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 16:54:11 EDT 2024
% Result : Unsatisfiable 22.81s 23.06s
% Output : Proof 23.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP292-1 : TPTP v8.2.0. Released v2.5.0.
% 0.11/0.15 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n017.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 20:32:24 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...
% 10.67/10.88 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.69/15.91 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.69/20.94 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 22.81/23.06 % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.bk4ONT0TRm/cvc5---1.0.5_26472.smt2
% 22.81/23.06 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.bk4ONT0TRm/cvc5---1.0.5_26472.smt2
% 23.33/23.55 (assume a0 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))
% 23.33/23.55 (assume a1 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))
% 23.33/23.55 (assume a2 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 23.33/23.55 (assume a3 (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5) (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)))
% 23.33/23.55 (assume a4 (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5) (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6)))
% 23.33/23.55 (assume a5 (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5) (= (tptp.inverse tptp.sk_c3) tptp.sk_c4)))
% 23.33/23.55 (assume a6 (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)))
% 23.33/23.55 (assume a7 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)))
% 23.33/23.55 (assume a8 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6)))
% 23.33/23.55 (assume a9 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c3) tptp.sk_c4)))
% 23.33/23.55 (assume a10 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)))
% 23.33/23.55 (assume a11 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)))
% 23.33/23.55 (assume a12 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6)))
% 23.33/23.55 (assume a13 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c3) tptp.sk_c4)))
% 23.33/23.55 (assume a14 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)))
% 23.33/23.55 (assume a15 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)))
% 23.33/23.55 (assume a16 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6)))
% 23.33/23.55 (assume a17 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (= (tptp.inverse tptp.sk_c3) tptp.sk_c4)))
% 23.33/23.55 (assume a18 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)))
% 23.33/23.55 (assume a19 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c5) (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)))
% 23.33/23.55 (assume a20 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c5) (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6)))
% 23.33/23.55 (assume a21 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c5) (= (tptp.inverse tptp.sk_c3) tptp.sk_c4)))
% 23.33/23.55 (assume a22 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c5) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)))
% 23.33/23.55 (assume a23 (forall ((X3 $$unsorted) (X4 $$unsorted) (X2 $$unsorted) (X1 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.multiply X3 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= (tptp.multiply X4 tptp.sk_c5) tptp.sk_c6)) (not (= (tptp.inverse X4) tptp.sk_c5)) (not (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.multiply X2 X1) tptp.sk_c6)) (not (= (tptp.inverse X2) X1)) (not (= (tptp.multiply X1 tptp.sk_c5) tptp.sk_c6)))))
% 23.33/23.55 (step t1 (cl (not (= (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (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 (not (= tptp.identity tptp.sk_c6))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.identity tptp.sk_c6) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))))) (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (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 (not (= tptp.identity tptp.sk_c6))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.identity tptp.sk_c6) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule equiv_pos2)
% 23.33/23.55 (step t2 (cl (= (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) :rule refl)
% 23.33/23.55 (step t3 (cl (= (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))))) :rule refl)
% 23.33/23.55 (step t4 (cl (= (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))))) :rule refl)
% 23.33/23.55 (step t5 (cl (= (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))))) :rule refl)
% 23.33/23.55 (step t6 (cl (= (= (= (not (not (= tptp.identity tptp.sk_c6))) (= tptp.identity tptp.sk_c6)) true) (= (not (not (= tptp.identity tptp.sk_c6))) (= tptp.identity tptp.sk_c6)))) :rule equiv_simplify)
% 23.33/23.55 (step t7 (cl (not (= (= (not (not (= tptp.identity tptp.sk_c6))) (= tptp.identity tptp.sk_c6)) true)) (= (not (not (= tptp.identity tptp.sk_c6))) (= tptp.identity tptp.sk_c6))) :rule equiv1 :premises (t6))
% 23.33/23.55 (step t8 (cl (= (= (not (not (= tptp.identity tptp.sk_c6))) (= tptp.identity tptp.sk_c6)) (= (= tptp.identity tptp.sk_c6) (not (not (= tptp.identity tptp.sk_c6)))))) :rule all_simplify)
% 23.33/23.55 (step t9 (cl (= (= tptp.identity tptp.sk_c6) (= tptp.identity tptp.sk_c6))) :rule refl)
% 23.33/23.55 (step t10 (cl (= (not (not (= tptp.identity tptp.sk_c6))) (= tptp.identity tptp.sk_c6))) :rule all_simplify)
% 23.33/23.55 (step t11 (cl (= (= (= tptp.identity tptp.sk_c6) (not (not (= tptp.identity tptp.sk_c6)))) (= (= tptp.identity tptp.sk_c6) (= tptp.identity tptp.sk_c6)))) :rule cong :premises (t9 t10))
% 23.33/23.55 (step t12 (cl (= (= (= tptp.identity tptp.sk_c6) (= tptp.identity tptp.sk_c6)) true)) :rule all_simplify)
% 23.33/23.55 (step t13 (cl (= (= (= tptp.identity tptp.sk_c6) (not (not (= tptp.identity tptp.sk_c6)))) true)) :rule trans :premises (t11 t12))
% 23.33/23.55 (step t14 (cl (= (= (not (not (= tptp.identity tptp.sk_c6))) (= tptp.identity tptp.sk_c6)) true)) :rule trans :premises (t8 t13))
% 23.33/23.55 (step t15 (cl (= (not (not (= tptp.identity tptp.sk_c6))) (= tptp.identity tptp.sk_c6))) :rule resolution :premises (t7 t14))
% 23.33/23.55 (step t16 (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)
% 23.33/23.55 (step t17 (cl (= (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))))) :rule refl)
% 23.33/23.55 (step t18 (cl (= (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))))) :rule refl)
% 23.33/23.55 (step t19 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))))) :rule refl)
% 23.33/23.55 (step t20 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule refl)
% 23.33/23.55 (step t21 (cl (= (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (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 (not (= tptp.identity tptp.sk_c6))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.identity tptp.sk_c6) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))))) :rule cong :premises (t2 t3 t4 t5 t15 t16 t17 t18 t19 t20))
% 23.33/23.55 (step t22 (cl (not (= (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))))) (not (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule equiv_pos2)
% 23.33/23.55 (step t23 (cl (= (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule refl)
% 23.33/23.55 (step t24 (cl (= (= (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) false) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))))) :rule equiv_simplify)
% 23.33/23.55 (step t25 (cl (= (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) false) (not (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))))) :rule equiv2 :premises (t24))
% 23.33/23.55 (step t26 (cl (not (not (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))))) (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule not_not)
% 23.33/23.55 (step t27 (cl (= (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) false) (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule resolution :premises (t25 t26))
% 23.33/23.55 (step t28 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) false) (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule implies_neg1)
% 23.33/23.55 (anchor :step t29)
% 23.33/23.55 (assume t29.a0 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 23.33/23.55 (assume t29.a1 (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))
% 23.33/23.55 (step t29.t1 (cl (not (= (= false true) false)) (not (= false true)) false) :rule equiv_pos2)
% 23.33/23.55 (step t29.t2 (cl (= (= false true) false)) :rule all_simplify)
% 23.33/23.55 (step t29.t3 (cl (= (= (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) false) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule equiv_simplify)
% 23.33/23.55 (step t29.t4 (cl (= (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) false) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule equiv2 :premises (t29.t3))
% 23.33/23.55 (step t29.t5 (cl (not (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule not_not)
% 23.33/23.55 (step t29.t6 (cl (= (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) false) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule resolution :premises (t29.t4 t29.t5))
% 23.33/23.55 (step t29.t7 (cl (= (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) false)) :rule resolution :premises (t29.t6 t29.a1))
% 23.33/23.55 (step t29.t8 (cl (= false (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule symm :premises (t29.t7))
% 23.33/23.55 (step t29.t9 (cl (= (= (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) true) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule equiv_simplify)
% 23.33/23.55 (step t29.t10 (cl (= (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) true) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule equiv2 :premises (t29.t9))
% 23.33/23.55 (step t29.t11 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t29.a0))
% 23.33/23.55 (step t29.t12 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule symm :premises (t29.t11))
% 23.33/23.55 (step t29.t13 (cl (= (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) true)) :rule resolution :premises (t29.t10 t29.t12))
% 23.33/23.55 (step t29.t14 (cl (= false true)) :rule trans :premises (t29.t8 t29.t13))
% 23.33/23.55 (step t29.t15 (cl false) :rule resolution :premises (t29.t1 t29.t2 t29.t14))
% 23.33/23.55 (step t29 (cl (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) false) :rule subproof :discharge (t29.a0 t29.a1))
% 23.33/23.55 (step t30 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.55 (step t31 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule and_pos)
% 23.33/23.55 (step t32 (cl false (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))))) :rule resolution :premises (t29 t30 t31))
% 23.33/23.55 (step t33 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) false) :rule reordering :premises (t32))
% 23.33/23.55 (step t34 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) false) :rule contraction :premises (t33))
% 23.33/23.55 (step t35 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) false) false) :rule resolution :premises (t28 t34))
% 23.33/23.55 (step t36 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) false) (not false)) :rule implies_neg2)
% 23.33/23.55 (step t37 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) false) (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) false)) :rule resolution :premises (t35 t36))
% 23.33/23.55 (step t38 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) false)) :rule contraction :premises (t37))
% 23.33/23.55 (step t39 (cl (= (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) false) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))))) :rule implies_simplify)
% 23.33/23.55 (step t40 (cl (not (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) false)) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))))) :rule equiv1 :premises (t39))
% 23.33/23.55 (step t41 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))))) :rule resolution :premises (t38 t40))
% 23.33/23.55 (step t42 (cl (= (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) false)) :rule resolution :premises (t27 t41))
% 23.33/23.55 (step t43 (cl (= (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) false))) :rule cong :premises (t23 t42))
% 23.33/23.55 (step t44 (cl (= (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) false) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))))) :rule all_simplify)
% 23.33/23.55 (step t45 (cl (= (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))))) :rule trans :premises (t43 t44))
% 23.33/23.55 (step t46 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule implies_neg1)
% 23.33/23.55 (anchor :step t47)
% 23.33/23.55 (assume t47.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))
% 23.33/23.55 (assume t47.a1 (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))
% 23.33/23.55 (assume t47.a2 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 23.33/23.55 (assume t47.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 23.33/23.55 (assume t47.a4 (not (= tptp.identity tptp.sk_c6)))
% 23.33/23.55 (assume t47.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 23.33/23.55 (assume t47.a6 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 23.33/23.55 (assume t47.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))))
% 23.33/23.55 (assume t47.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))
% 23.33/23.55 (assume t47.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 23.33/23.55 (step t47.t1 (cl (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule and_neg)
% 23.33/23.55 (step t47.t2 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies_neg1)
% 23.33/23.55 (anchor :step t47.t3)
% 23.33/23.55 (assume t47.t3.a0 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 23.33/23.55 (assume t47.t3.a1 (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))
% 23.33/23.55 (assume t47.t3.a2 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 23.33/23.55 (assume t47.t3.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 23.33/23.55 (assume t47.t3.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))
% 23.33/23.55 (assume t47.t3.a5 (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))
% 23.33/23.55 (assume t47.t3.a6 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))))
% 23.33/23.55 (assume t47.t3.a7 (not (= tptp.identity tptp.sk_c6)))
% 23.33/23.55 (assume t47.t3.a8 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 23.33/23.55 (step t47.t3.t1 (cl (= (= (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) false) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule equiv_simplify)
% 23.33/23.55 (step t47.t3.t2 (cl (not (= (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) false)) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule equiv1 :premises (t47.t3.t1))
% 23.33/23.55 (step t47.t3.t3 (cl (not (= (= (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6)) false) (= (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) false))) (not (= (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6)) false)) (= (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) false)) :rule equiv_pos2)
% 23.33/23.55 (step t47.t3.t4 (cl (= (= (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6)) false) (not (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6))))) :rule all_simplify)
% 23.33/23.55 (step t47.t3.t5 (cl (= (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule all_simplify)
% 23.33/23.55 (step t47.t3.t6 (cl (= (not (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule cong :premises (t47.t3.t5))
% 23.33/23.55 (step t47.t3.t7 (cl (= (= (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6)) false) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule trans :premises (t47.t3.t4 t47.t3.t6))
% 23.33/23.55 (step t47.t3.t8 (cl (= (= (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) false) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule all_simplify)
% 23.33/23.55 (step t47.t3.t9 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) false))) :rule symm :premises (t47.t3.t8))
% 23.33/23.55 (step t47.t3.t10 (cl (= (= (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6)) false) (= (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) false))) :rule trans :premises (t47.t3.t7 t47.t3.t9))
% 23.33/23.55 (step t47.t3.t11 (cl (= (tptp.inverse tptp.sk_c6) (tptp.inverse tptp.sk_c6))) :rule refl)
% 23.33/23.55 (step t47.t3.t12 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 23.33/23.55 (step t47.t3.t13 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6))) :rule cong :premises (t47.t3.a1 t47.t3.t12))
% 23.33/23.55 (step t47.t3.t14 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6))) :rule symm :premises (t47.t3.a6))
% 23.33/23.55 (step t47.t3.t15 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule symm :premises (t47.t3.t14))
% 23.33/23.55 (step t47.t3.t16 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 23.33/23.55 (step t47.t3.t17 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c4)) :rule symm :premises (t47.t3.a5))
% 23.33/23.55 (step t47.t3.t18 (cl (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t47.t3.t17))
% 23.33/23.55 (step t47.t3.t19 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule cong :premises (t47.t3.t18 t47.t3.a1))
% 23.33/23.55 (step t47.t3.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4))) :rule symm :premises (t47.t3.a4))
% 23.33/23.55 (step t47.t3.t21 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t47.t3.a3))
% 23.33/23.55 (step t47.t3.t22 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 23.33/23.55 (step t47.t3.t23 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t47.t3.t21 t47.t3.t22))
% 23.33/23.55 (step t47.t3.t24 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t47.t3.a2))
% 23.33/23.55 (step t47.t3.t25 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c6) tptp.sk_c4)) :rule trans :premises (t47.t3.t19 t47.t3.t20 t47.t3.t23 t47.t3.t24))
% 23.33/23.55 (step t47.t3.t26 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule cong :premises (t47.t3.t16 t47.t3.t25))
% 23.33/23.55 (step t47.t3.t27 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t47.t3.a1))
% 23.33/23.55 (step t47.t3.t28 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) tptp.sk_c6)) :rule trans :premises (t47.t3.t13 t47.t3.t15 t47.t3.t26 t47.t3.t27))
% 23.33/23.55 (step t47.t3.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule cong :premises (t47.t3.t11 t47.t3.t28))
% 23.33/23.55 (step t47.t3.t30 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.identity)) :rule symm :premises (t47.t3.a0))
% 23.33/23.55 (step t47.t3.t31 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)) tptp.identity)) :rule trans :premises (t47.t3.t29 t47.t3.t30))
% 23.33/23.55 (step t47.t3.t32 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t47.t3.t30 t47.t3.t12))
% 23.33/23.55 (step t47.t3.t33 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t47.t3.a8))
% 23.33/23.55 (step t47.t3.t34 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) tptp.sk_c6)) :rule trans :premises (t47.t3.t32 t47.t3.t33))
% 23.33/23.55 (step t47.t3.t35 (cl (= (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6)) (= tptp.identity tptp.sk_c6))) :rule cong :premises (t47.t3.t31 t47.t3.t34))
% 23.33/23.55 (step t47.t3.t36 (cl (= (= (= tptp.identity tptp.sk_c6) false) (not (= tptp.identity tptp.sk_c6)))) :rule equiv_simplify)
% 23.33/23.55 (step t47.t3.t37 (cl (= (= tptp.identity tptp.sk_c6) false) (not (not (= tptp.identity tptp.sk_c6)))) :rule equiv2 :premises (t47.t3.t36))
% 23.33/23.55 (step t47.t3.t38 (cl (not (not (not (= tptp.identity tptp.sk_c6)))) (= tptp.identity tptp.sk_c6)) :rule not_not)
% 23.33/23.55 (step t47.t3.t39 (cl (= (= tptp.identity tptp.sk_c6) false) (= tptp.identity tptp.sk_c6)) :rule resolution :premises (t47.t3.t37 t47.t3.t38))
% 23.33/23.55 (step t47.t3.t40 (cl (= (= tptp.identity tptp.sk_c6) false)) :rule resolution :premises (t47.t3.t39 t47.t3.a7))
% 23.33/23.55 (step t47.t3.t41 (cl (= (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6)) false)) :rule trans :premises (t47.t3.t35 t47.t3.t40))
% 23.33/23.55 (step t47.t3.t42 (cl (= (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) false)) :rule resolution :premises (t47.t3.t3 t47.t3.t10 t47.t3.t41))
% 23.33/23.55 (step t47.t3.t43 (cl (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule resolution :premises (t47.t3.t2 t47.t3.t42))
% 23.33/23.55 (step t47.t3 (cl (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (not (= tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule subproof :discharge (t47.t3.a0 t47.t3.a1 t47.t3.a2 t47.t3.a3 t47.t3.a4 t47.t3.a5 t47.t3.a6 t47.t3.a7 t47.t3.a8))
% 23.33/23.55 (step t47.t4 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 23.33/23.55 (step t47.t5 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule and_pos)
% 23.33/23.55 (step t47.t6 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 23.33/23.55 (step t47.t7 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 23.33/23.55 (step t47.t8 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule and_pos)
% 23.33/23.55 (step t47.t9 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 23.33/23.55 (step t47.t10 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.55 (step t47.t11 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (= tptp.identity tptp.sk_c6))) :rule and_pos)
% 23.33/23.55 (step t47.t12 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 23.33/23.55 (step t47.t13 (cl (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))))) :rule resolution :premises (t47.t3 t47.t4 t47.t5 t47.t6 t47.t7 t47.t8 t47.t9 t47.t10 t47.t11 t47.t12))
% 23.33/23.55 (step t47.t14 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule reordering :premises (t47.t13))
% 23.33/23.55 (step t47.t15 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule contraction :premises (t47.t14))
% 23.33/23.55 (step t47.t16 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule resolution :premises (t47.t2 t47.t15))
% 23.33/23.55 (step t47.t17 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule implies_neg2)
% 23.33/23.55 (step t47.t18 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule resolution :premises (t47.t16 t47.t17))
% 23.33/23.55 (step t47.t19 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule contraction :premises (t47.t18))
% 23.33/23.55 (step t47.t20 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule implies :premises (t47.t19))
% 23.33/23.55 (step t47.t21 (cl (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= 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.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (not (= tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule and_neg)
% 23.33/23.55 (step t47.t22 (cl (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (not (= tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t47.t21 t47.a3 t47.a0 t47.a6 t47.a5 t47.a8 t47.a1 t47.a7 t47.a4 t47.a2))
% 23.33/23.55 (step t47.t23 (cl (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule resolution :premises (t47.t20 t47.t22))
% 23.33/23.55 (step t47.t24 (cl (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule resolution :premises (t47.t1 t47.a9 t47.t23))
% 23.33/23.55 (step t47 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (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 (not (= tptp.identity tptp.sk_c6))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule subproof :discharge (t47.a0 t47.a1 t47.a2 t47.a3 t47.a4 t47.a5 t47.a6 t47.a7 t47.a8 t47.a9))
% 23.33/23.55 (step t48 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule and_pos)
% 23.33/23.55 (step t49 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 23.33/23.55 (step t50 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 23.33/23.55 (step t51 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 23.33/23.55 (step t52 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (= tptp.identity tptp.sk_c6))) :rule and_pos)
% 23.33/23.55 (step t53 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 23.33/23.55 (step t54 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 23.33/23.55 (step t55 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.55 (step t56 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule and_pos)
% 23.33/23.55 (step t57 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.55 (step t58 (cl (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule resolution :premises (t47 t48 t49 t50 t51 t52 t53 t54 t55 t56 t57))
% 23.33/23.55 (step t59 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule reordering :premises (t58))
% 23.33/23.55 (step t60 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule contraction :premises (t59))
% 23.33/23.55 (step t61 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule resolution :premises (t46 t60))
% 23.33/23.55 (step t62 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))))) :rule implies_neg2)
% 23.33/23.55 (step t63 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))))) :rule resolution :premises (t61 t62))
% 23.33/23.55 (step t64 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))))) :rule contraction :premises (t63))
% 23.33/23.55 (step t65 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (not (= tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule resolution :premises (t22 t45 t64))
% 23.33/23.55 (step t66 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (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 (not (= tptp.identity tptp.sk_c6))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule not_and :premises (t65))
% 23.33/23.55 (step t67 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (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 (not (= tptp.identity tptp.sk_c6))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) :rule or_neg)
% 23.33/23.55 (step t68 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (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 (not (= tptp.identity tptp.sk_c6))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))))) :rule or_neg)
% 23.33/23.55 (step t69 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (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 (not (= tptp.identity tptp.sk_c6))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))))) :rule or_neg)
% 23.33/23.55 (step t70 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (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 (not (= tptp.identity tptp.sk_c6))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))))) :rule or_neg)
% 23.33/23.55 (step t71 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (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 (not (= tptp.identity tptp.sk_c6))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (not (not (= tptp.identity tptp.sk_c6))))) :rule or_neg)
% 23.33/23.55 (step t72 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (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 (not (= tptp.identity tptp.sk_c6))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) :rule or_neg)
% 23.33/23.55 (step t73 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (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 (not (= tptp.identity tptp.sk_c6))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))))) :rule or_neg)
% 23.33/23.55 (step t74 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (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 (not (= tptp.identity tptp.sk_c6))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))))) :rule or_neg)
% 23.33/23.55 (step t75 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (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 (not (= tptp.identity tptp.sk_c6))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))))) :rule or_neg)
% 23.33/23.55 (step t76 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (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 (not (= tptp.identity tptp.sk_c6))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule or_neg)
% 23.33/23.55 (step t77 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (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 (not (= tptp.identity tptp.sk_c6))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (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 (not (= tptp.identity tptp.sk_c6))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (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 (not (= tptp.identity tptp.sk_c6))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (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 (not (= tptp.identity tptp.sk_c6))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (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 (not (= tptp.identity tptp.sk_c6))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (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 (not (= tptp.identity tptp.sk_c6))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (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 (not (= tptp.identity tptp.sk_c6))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (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 (not (= tptp.identity tptp.sk_c6))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (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 (not (= tptp.identity tptp.sk_c6))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (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 (not (= tptp.identity tptp.sk_c6))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule resolution :premises (t66 t67 t68 t69 t70 t71 t72 t73 t74 t75 t76))
% 23.33/23.55 (step t78 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (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 (not (= tptp.identity tptp.sk_c6))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule contraction :premises (t77))
% 23.33/23.55 (step t79 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.identity tptp.sk_c6) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule resolution :premises (t1 t21 t78))
% 23.33/23.55 (step t80 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.identity tptp.sk_c6) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule or :premises (t79))
% 23.33/23.55 (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.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 23.33/23.55 (anchor :step t82)
% 23.33/23.55 (assume t82.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 23.33/23.55 (step t82.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c6)) (:= Y tptp.sk_c6) (:= Z tptp.sk_c6)))
% 23.33/23.55 (step t82.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule or :premises (t82.t1))
% 23.33/23.55 (step t82.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule resolution :premises (t82.t2 t82.a0))
% 23.33/23.55 (step t82 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule subproof :discharge (t82.a0))
% 23.33/23.55 (step t83 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule resolution :premises (t81 t82))
% 23.33/23.55 (step t84 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule implies_neg2)
% 23.33/23.55 (step t85 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule resolution :premises (t83 t84))
% 23.33/23.55 (step t86 (cl (=> (forall ((X $$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_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule contraction :premises (t85))
% 23.33/23.55 (step t87 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule implies :premises (t86))
% 23.33/23.55 (step t88 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule resolution :premises (t87 a2))
% 23.33/23.55 (step t89 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule and_neg)
% 23.33/23.55 (step t90 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c7 tptp.sk_c5)) (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule implies_neg1)
% 23.33/23.55 (anchor :step t91)
% 23.33/23.55 (assume t91.a0 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))
% 23.33/23.55 (assume t91.a1 (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))
% 23.33/23.55 (assume t91.a2 (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))
% 23.33/23.55 (assume t91.a3 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 23.33/23.55 (assume t91.a4 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))))
% 23.33/23.55 (assume t91.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 23.33/23.55 (assume t91.a6 (= tptp.identity tptp.sk_c6))
% 23.33/23.55 (assume t91.a7 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 23.33/23.55 (assume t91.a8 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))))
% 23.33/23.55 (assume t91.a9 (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.55 (assume t91.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))
% 23.33/23.55 (assume t91.a11 (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))
% 23.33/23.55 (assume t91.a12 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.55 (assume t91.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))
% 23.33/23.55 (assume t91.a14 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 23.33/23.55 (assume t91.a15 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))
% 23.33/23.55 (assume t91.a16 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 23.33/23.55 (assume t91.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))))
% 23.33/23.55 (assume t91.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))
% 23.33/23.55 (assume t91.a19 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))
% 23.33/23.55 (assume t91.a20 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 23.33/23.55 (assume t91.a21 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))
% 23.33/23.55 (step t91.t1 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 tptp.sk_c5)) (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule implies_neg1)
% 23.33/23.55 (anchor :step t91.t2)
% 23.33/23.55 (assume t91.t2.a0 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 23.33/23.55 (assume t91.t2.a1 (= tptp.identity tptp.sk_c6))
% 23.33/23.55 (assume t91.t2.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))
% 23.33/23.55 (assume t91.t2.a3 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))
% 23.33/23.55 (assume t91.t2.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 23.33/23.55 (assume t91.t2.a5 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 23.33/23.55 (assume t91.t2.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 23.33/23.55 (assume t91.t2.a7 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))
% 23.33/23.55 (assume t91.t2.a8 (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))
% 23.33/23.55 (assume t91.t2.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))))
% 23.33/23.55 (assume t91.t2.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))
% 23.33/23.55 (assume t91.t2.a11 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))
% 23.33/23.55 (assume t91.t2.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))))
% 23.33/23.55 (assume t91.t2.a13 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.55 (assume t91.t2.a14 (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.55 (assume t91.t2.a15 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))))
% 23.33/23.55 (assume t91.t2.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))
% 23.33/23.55 (assume t91.t2.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))
% 23.33/23.55 (assume t91.t2.a18 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 23.33/23.55 (assume t91.t2.a19 (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))
% 23.33/23.55 (assume t91.t2.a20 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))
% 23.33/23.55 (assume t91.t2.a21 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 23.33/23.55 (step t91.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t91.t2.a21))
% 23.33/23.55 (step t91.t2.t2 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule symm :premises (t91.t2.t1))
% 23.33/23.55 (step t91.t2.t3 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) :rule symm :premises (t91.t2.a20))
% 23.33/23.55 (step t91.t2.t4 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t91.t2.a6))
% 23.33/23.55 (step t91.t2.t5 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule trans :premises (t91.t2.t4 t91.t2.a18))
% 23.33/23.55 (step t91.t2.t6 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) :rule refl)
% 23.33/23.55 (step t91.t2.t7 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) :rule cong :premises (t91.t2.t5 t91.t2.t6))
% 23.33/23.55 (step t91.t2.t8 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t91.t2.a18))
% 23.33/23.55 (step t91.t2.t9 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule trans :premises (t91.t2.t8 t91.t2.a13))
% 23.33/23.55 (step t91.t2.t10 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule refl)
% 23.33/23.55 (step t91.t2.t11 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t91.t2.a11))
% 23.33/23.55 (step t91.t2.t12 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule symm :premises (t91.t2.t11))
% 23.33/23.55 (step t91.t2.t13 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule cong :premises (t91.t2.t10 t91.t2.t12))
% 23.33/23.55 (step t91.t2.t14 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.identity)) :rule symm :premises (t91.t2.a15))
% 23.33/23.55 (step t91.t2.t15 (cl (= (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule refl)
% 23.33/23.55 (step t91.t2.t16 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 23.33/23.55 (step t91.t2.t17 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule cong :premises (t91.t2.t12))
% 23.33/23.55 (step t91.t2.t18 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t91.t2.t16 t91.t2.t17))
% 23.33/23.55 (step t91.t2.t19 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t91.t2.t12 t91.t2.t10))
% 23.33/23.55 (step t91.t2.t20 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule trans :premises (t91.t2.t18 t91.t2.t19))
% 23.33/23.55 (step t91.t2.t21 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule cong :premises (t91.t2.t10 t91.t2.t20))
% 23.33/23.55 (step t91.t2.t22 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule symm :premises (t91.t2.a16))
% 23.33/23.55 (step t91.t2.t23 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t91.t2.t14 t91.t2.t10))
% 23.33/23.55 (step t91.t2.t24 (cl (= (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule symm :premises (t91.t2.a14))
% 23.33/23.55 (step t91.t2.t25 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule trans :premises (t91.t2.t21 t91.t2.t22 t91.t2.t23 t91.t2.t24))
% 23.33/23.55 (step t91.t2.t26 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t91.t2.t15 t91.t2.t25))
% 23.33/23.55 (step t91.t2.t27 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule symm :premises (t91.t2.t26))
% 23.33/23.55 (step t91.t2.t28 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule symm :premises (t91.t2.a17))
% 23.33/23.55 (step t91.t2.t29 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.identity)) :rule symm :premises (t91.t2.a13))
% 23.33/23.55 (step t91.t2.t30 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule refl)
% 23.33/23.55 (step t91.t2.t31 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule cong :premises (t91.t2.t29 t91.t2.t30))
% 23.33/23.55 (step t91.t2.t32 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule symm :premises (t91.t2.a19))
% 23.33/23.55 (step t91.t2.t33 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule trans :premises (t91.t2.t13 t91.t2.t14 t91.t2.a13 t91.t2.t27 t91.t2.t28 t91.t2.t31 t91.t2.t32))
% 23.33/23.55 (step t91.t2.t34 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule cong :premises (t91.t2.t9 t91.t2.t33))
% 23.33/23.55 (step t91.t2.t35 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule symm :premises (t91.t2.t28))
% 23.33/23.55 (step t91.t2.t36 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) tptp.identity)) :rule trans :premises (t91.t2.t3 t91.t2.t7 t91.t2.t34 t91.t2.t35 t91.t2.t26 t91.t2.t29))
% 23.33/23.55 (step t91.t2.t37 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule symm :premises (t91.t2.t36))
% 23.33/23.55 (step t91.t2.t38 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) tptp.sk_c7))) :rule cong :premises (t91.t2.t37 t91.t2.t16))
% 23.33/23.55 (step t91.t2.t39 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) tptp.sk_c6)) :rule trans :premises (t91.t2.t36 t91.t2.a1))
% 23.33/23.55 (step t91.t2.t40 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t91.t2.t39 t91.t2.t16))
% 23.33/23.55 (step t91.t2.t41 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7))) :rule cong :premises (t91.t2.a2 t91.t2.t16))
% 23.33/23.55 (step t91.t2.t42 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7))) :rule symm :premises (t91.t2.a12))
% 23.33/23.55 (step t91.t2.t43 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule symm :premises (t91.t2.t42))
% 23.33/23.55 (step t91.t2.t44 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 23.33/23.55 (step t91.t2.t45 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 23.33/23.55 (step t91.t2.t46 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule cong :premises (t91.t2.t45 t91.t2.t12))
% 23.33/23.55 (step t91.t2.t47 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6))) :rule symm :premises (t91.t2.a10))
% 23.33/23.55 (step t91.t2.t48 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t91.t2.a4))
% 23.33/23.55 (step t91.t2.t49 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 23.33/23.55 (step t91.t2.t50 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule cong :premises (t91.t2.t48 t91.t2.t49))
% 23.33/23.55 (step t91.t2.t51 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6))) :rule cong :premises (t91.t2.a2 t91.t2.t49))
% 23.33/23.55 (step t91.t2.t52 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6))) :rule symm :premises (t91.t2.a9))
% 23.33/23.55 (step t91.t2.t53 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule symm :premises (t91.t2.t52))
% 23.33/23.55 (step t91.t2.t54 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c4)) :rule symm :premises (t91.t2.a8))
% 23.33/23.55 (step t91.t2.t55 (cl (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t91.t2.t54))
% 23.33/23.55 (step t91.t2.t56 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule cong :premises (t91.t2.t55 t91.t2.a2))
% 23.33/23.55 (step t91.t2.t57 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4))) :rule symm :premises (t91.t2.a7))
% 23.33/23.55 (step t91.t2.t58 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t91.t2.t4 t91.t2.t45))
% 23.33/23.55 (step t91.t2.t59 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t91.t2.a5))
% 23.33/23.55 (step t91.t2.t60 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c6) tptp.sk_c4)) :rule trans :premises (t91.t2.t56 t91.t2.t57 t91.t2.t58 t91.t2.t59))
% 23.33/23.55 (step t91.t2.t61 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule cong :premises (t91.t2.t44 t91.t2.t60))
% 23.33/23.55 (step t91.t2.t62 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t91.t2.a2))
% 23.33/23.55 (step t91.t2.t63 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t91.t2.t46 t91.t2.t47 t91.t2.t50 t91.t2.t51 t91.t2.t53 t91.t2.t61 t91.t2.t62))
% 23.33/23.55 (step t91.t2.t64 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule cong :premises (t91.t2.t44 t91.t2.t63))
% 23.33/23.55 (step t91.t2.t65 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule symm :premises (t91.t2.t48))
% 23.33/23.55 (step t91.t2.t66 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule cong :premises (t91.t2.t44 t91.t2.t65))
% 23.33/23.55 (step t91.t2.t67 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5))) :rule symm :premises (t91.t2.a3))
% 23.33/23.55 (step t91.t2.t68 (cl (= tptp.sk_c6 tptp.identity)) :rule symm :premises (t91.t2.a1))
% 23.33/23.55 (step t91.t2.t69 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.identity)) :rule trans :premises (t91.t2.t62 t91.t2.t68))
% 23.33/23.55 (step t91.t2.t70 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 23.33/23.55 (step t91.t2.t71 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t91.t2.t69 t91.t2.t70))
% 23.33/23.55 (step t91.t2.t72 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t91.t2.a0))
% 23.33/23.55 (step t91.t2.t73 (cl (= tptp.sk_c7 tptp.sk_c5)) :rule trans :premises (t91.t2.t2 t91.t2.t38 t91.t2.t40 t91.t2.t41 t91.t2.t43 t91.t2.t64 t91.t2.t66 t91.t2.t67 t91.t2.t71 t91.t2.t72))
% 23.33/23.55 (step t91.t2 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity tptp.sk_c6)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 tptp.sk_c5)) :rule subproof :discharge (t91.t2.a0 t91.t2.a1 t91.t2.a2 t91.t2.a3 t91.t2.a4 t91.t2.a5 t91.t2.a6 t91.t2.a7 t91.t2.a8 t91.t2.a9 t91.t2.a10 t91.t2.a11 t91.t2.a12 t91.t2.a13 t91.t2.a14 t91.t2.a15 t91.t2.a16 t91.t2.a17 t91.t2.a18 t91.t2.a19 t91.t2.a20 t91.t2.a21))
% 23.33/23.55 (step t91.t3 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 23.33/23.55 (step t91.t4 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.identity tptp.sk_c6)) :rule and_pos)
% 23.33/23.55 (step t91.t5 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule and_pos)
% 23.33/23.55 (step t91.t6 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule and_pos)
% 23.33/23.55 (step t91.t7 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 23.33/23.55 (step t91.t8 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 23.33/23.55 (step t91.t9 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 23.33/23.55 (step t91.t10 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule and_pos)
% 23.33/23.55 (step t91.t11 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 23.33/23.55 (step t91.t12 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.55 (step t91.t13 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.55 (step t91.t14 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule and_pos)
% 23.33/23.55 (step t91.t15 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule and_pos)
% 23.33/23.55 (step t91.t16 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule and_pos)
% 23.33/23.55 (step t91.t17 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule and_pos)
% 23.33/23.55 (step t91.t18 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.55 (step t91.t19 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule and_pos)
% 23.33/23.55 (step t91.t20 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule and_pos)
% 23.33/23.55 (step t91.t21 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 23.33/23.55 (step t91.t22 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule and_pos)
% 23.33/23.55 (step t91.t23 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule and_pos)
% 23.33/23.55 (step t91.t24 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 23.33/23.55 (step t91.t25 (cl (= tptp.sk_c7 tptp.sk_c5) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule resolution :premises (t91.t2 t91.t3 t91.t4 t91.t5 t91.t6 t91.t7 t91.t8 t91.t9 t91.t10 t91.t11 t91.t12 t91.t13 t91.t14 t91.t15 t91.t16 t91.t17 t91.t18 t91.t19 t91.t20 t91.t21 t91.t22 t91.t23 t91.t24))
% 23.33/23.55 (step t91.t26 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 tptp.sk_c5)) :rule reordering :premises (t91.t25))
% 23.33/23.55 (step t91.t27 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 tptp.sk_c5)) :rule contraction :premises (t91.t26))
% 23.33/23.55 (step t91.t28 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 tptp.sk_c5)) :rule resolution :premises (t91.t1 t91.t27))
% 23.33/23.55 (step t91.t29 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 tptp.sk_c5)) (not (= tptp.sk_c7 tptp.sk_c5))) :rule implies_neg2)
% 23.33/23.55 (step t91.t30 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 tptp.sk_c5)) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 tptp.sk_c5))) :rule resolution :premises (t91.t28 t91.t29))
% 23.33/23.55 (step t91.t31 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 tptp.sk_c5))) :rule contraction :premises (t91.t30))
% 23.33/23.55 (step t91.t32 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 tptp.sk_c5)) :rule implies :premises (t91.t31))
% 23.33/23.55 (step t91.t33 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity tptp.sk_c6)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_neg)
% 23.33/23.55 (step t91.t34 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule resolution :premises (t91.t33 t91.a20 t91.a6 t91.a1 t91.a21 t91.a3 t91.a16 t91.a14 t91.a19 t91.a2 t91.a17 t91.a18 t91.a0 t91.a8 t91.a12 t91.a9 t91.a4 t91.a10 t91.a13 t91.a5 t91.a11 t91.a15 t91.a7))
% 23.33/23.55 (step t91.t35 (cl (= tptp.sk_c7 tptp.sk_c5)) :rule resolution :premises (t91.t32 t91.t34))
% 23.33/23.55 (step t91 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c7 tptp.sk_c5)) :rule subproof :discharge (t91.a0 t91.a1 t91.a2 t91.a3 t91.a4 t91.a5 t91.a6 t91.a7 t91.a8 t91.a9 t91.a10 t91.a11 t91.a12 t91.a13 t91.a14 t91.a15 t91.a16 t91.a17 t91.a18 t91.a19 t91.a20 t91.a21))
% 23.33/23.55 (step t92 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule and_pos)
% 23.33/23.55 (step t93 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule and_pos)
% 23.33/23.55 (step t94 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 23.33/23.55 (step t95 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 23.33/23.55 (step t96 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.55 (step t97 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 23.33/23.55 (step t98 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= tptp.identity tptp.sk_c6)) :rule and_pos)
% 23.33/23.55 (step t99 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 23.33/23.55 (step t100 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule and_pos)
% 23.33/23.55 (step t101 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule and_pos)
% 23.33/23.55 (step t102 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule and_pos)
% 23.33/23.55 (step t103 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule and_pos)
% 23.33/23.55 (step t104 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule and_pos)
% 23.33/23.55 (step t105 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule and_pos)
% 23.33/23.55 (step t106 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 23.33/23.55 (step t107 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule and_pos)
% 23.33/23.55 (step t108 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 23.33/23.55 (step t109 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.55 (step t110 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.55 (step t111 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule and_pos)
% 23.33/23.55 (step t112 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 23.33/23.55 (step t113 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule and_pos)
% 23.33/23.55 (step t114 (cl (= tptp.sk_c7 tptp.sk_c5) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))))) :rule resolution :premises (t91 t92 t93 t94 t95 t96 t97 t98 t99 t100 t101 t102 t103 t104 t105 t106 t107 t108 t109 t110 t111 t112 t113))
% 23.33/23.55 (step t115 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= tptp.sk_c7 tptp.sk_c5)) :rule reordering :premises (t114))
% 23.33/23.56 (step t116 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= tptp.sk_c7 tptp.sk_c5)) :rule contraction :premises (t115))
% 23.33/23.56 (step t117 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 tptp.sk_c5)) :rule resolution :premises (t90 t116))
% 23.33/23.56 (step t118 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c7 tptp.sk_c5)) (not (= tptp.sk_c7 tptp.sk_c5))) :rule implies_neg2)
% 23.33/23.56 (step t119 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c7 tptp.sk_c5)) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c7 tptp.sk_c5))) :rule resolution :premises (t117 t118))
% 23.33/23.56 (step t120 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c7 tptp.sk_c5))) :rule contraction :premises (t119))
% 23.33/23.56 (step t121 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity tptp.sk_c6) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= tptp.sk_c7 tptp.sk_c5)) :rule implies :premises (t120))
% 23.33/23.56 (step t122 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c7 tptp.sk_c5)) :rule resolution :premises (t89 t121))
% 23.33/23.56 (step t123 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c7 tptp.sk_c5) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity tptp.sk_c6)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule reordering :premises (t122))
% 23.33/23.56 (step t124 (cl (not (= (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5) (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5) (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7))) (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule equiv_pos2)
% 23.33/23.56 (step t125 (cl (= (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule all_simplify)
% 23.33/23.56 (step t126 (cl (= (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule all_simplify)
% 23.33/23.56 (step t127 (cl (= (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5) (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t125 t126))
% 23.33/23.56 (step t128 (cl (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule resolution :premises (t124 t127 a3))
% 23.33/23.56 (step t129 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule or :premises (t128))
% 23.33/23.56 (step t130 (cl (not (= (forall ((X3 $$unsorted) (X4 $$unsorted) (X2 $$unsorted) (X1 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.multiply X3 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= (tptp.multiply X4 tptp.sk_c5) tptp.sk_c6)) (not (= (tptp.inverse X4) tptp.sk_c5)) (not (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.multiply X2 X1) tptp.sk_c6)) (not (= (tptp.inverse X2) X1)) (not (= (tptp.multiply X1 tptp.sk_c5) tptp.sk_c6)))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5)))))))) (not (forall ((X3 $$unsorted) (X4 $$unsorted) (X2 $$unsorted) (X1 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.multiply X3 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= (tptp.multiply X4 tptp.sk_c5) tptp.sk_c6)) (not (= (tptp.inverse X4) tptp.sk_c5)) (not (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.multiply X2 X1) tptp.sk_c6)) (not (= (tptp.inverse X2) X1)) (not (= (tptp.multiply X1 tptp.sk_c5) tptp.sk_c6))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5))))))) :rule equiv_pos2)
% 23.33/23.56 (anchor :step t131 :args ((X3 $$unsorted) (:= X3 X3) (X4 $$unsorted) (:= X4 X4) (X2 $$unsorted) (:= X2 X2) (X1 $$unsorted) (:= X1 X1)))
% 23.33/23.56 (step t131.t1 (cl (= X3 X3)) :rule refl)
% 23.33/23.56 (step t131.t2 (cl (= X4 X4)) :rule refl)
% 23.33/23.56 (step t131.t3 (cl (= X2 X2)) :rule refl)
% 23.33/23.56 (step t131.t4 (cl (= X1 X1)) :rule refl)
% 23.33/23.56 (step t131.t5 (cl (= (not (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule cong :premises (t125))
% 23.33/23.56 (step t131.t6 (cl (= (= (tptp.multiply X3 tptp.sk_c7) tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7)))) :rule all_simplify)
% 23.33/23.56 (step t131.t7 (cl (= (not (= (tptp.multiply X3 tptp.sk_c7) tptp.sk_c6)) (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))))) :rule cong :premises (t131.t6))
% 23.33/23.56 (step t131.t8 (cl (= (= (tptp.inverse X3) tptp.sk_c7) (= tptp.sk_c7 (tptp.inverse X3)))) :rule all_simplify)
% 23.33/23.56 (step t131.t9 (cl (= (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= tptp.sk_c7 (tptp.inverse X3))))) :rule cong :premises (t131.t8))
% 23.33/23.56 (step t131.t10 (cl (= (= (tptp.multiply X4 tptp.sk_c5) tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5)))) :rule all_simplify)
% 23.33/23.56 (step t131.t11 (cl (= (not (= (tptp.multiply X4 tptp.sk_c5) tptp.sk_c6)) (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))))) :rule cong :premises (t131.t10))
% 23.33/23.56 (step t131.t12 (cl (= (= (tptp.inverse X4) tptp.sk_c5) (= tptp.sk_c5 (tptp.inverse X4)))) :rule all_simplify)
% 23.33/23.56 (step t131.t13 (cl (= (not (= (tptp.inverse X4) tptp.sk_c5)) (not (= tptp.sk_c5 (tptp.inverse X4))))) :rule cong :premises (t131.t12))
% 23.33/23.56 (step t131.t14 (cl (= (not (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t126))
% 23.33/23.56 (step t131.t15 (cl (= (= (tptp.multiply X2 X1) tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply X2 X1)))) :rule all_simplify)
% 23.33/23.56 (step t131.t16 (cl (= (not (= (tptp.multiply X2 X1) tptp.sk_c6)) (not (= tptp.sk_c6 (tptp.multiply X2 X1))))) :rule cong :premises (t131.t15))
% 23.33/23.56 (step t131.t17 (cl (= (= (tptp.inverse X2) X1) (= X1 (tptp.inverse X2)))) :rule all_simplify)
% 23.33/23.56 (step t131.t18 (cl (= (not (= (tptp.inverse X2) X1)) (not (= X1 (tptp.inverse X2))))) :rule cong :premises (t131.t17))
% 23.33/23.56 (step t131.t19 (cl (= (= (tptp.multiply X1 tptp.sk_c5) tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c5)))) :rule all_simplify)
% 23.33/23.56 (step t131.t20 (cl (= (not (= (tptp.multiply X1 tptp.sk_c5) tptp.sk_c6)) (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c5))))) :rule cong :premises (t131.t19))
% 23.33/23.56 (step t131.t21 (cl (= (or (not (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.multiply X3 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= (tptp.multiply X4 tptp.sk_c5) tptp.sk_c6)) (not (= (tptp.inverse X4) tptp.sk_c5)) (not (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.multiply X2 X1) tptp.sk_c6)) (not (= (tptp.inverse X2) X1)) (not (= (tptp.multiply X1 tptp.sk_c5) tptp.sk_c6))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply X2 X1))) (not (= X1 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c5)))))) :rule cong :premises (t131.t5 t131.t7 t131.t9 t131.t11 t131.t13 t131.t14 t131.t16 t131.t18 t131.t20))
% 23.33/23.56 (step t131 (cl (= (forall ((X3 $$unsorted) (X4 $$unsorted) (X2 $$unsorted) (X1 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.multiply X3 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= (tptp.multiply X4 tptp.sk_c5) tptp.sk_c6)) (not (= (tptp.inverse X4) tptp.sk_c5)) (not (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.multiply X2 X1) tptp.sk_c6)) (not (= (tptp.inverse X2) X1)) (not (= (tptp.multiply X1 tptp.sk_c5) tptp.sk_c6)))) (forall ((X3 $$unsorted) (X4 $$unsorted) (X2 $$unsorted) (X1 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply X2 X1))) (not (= X1 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c5))))))) :rule bind)
% 23.33/23.56 (step t132 (cl (= (forall ((X3 $$unsorted) (X4 $$unsorted) (X2 $$unsorted) (X1 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply X2 X1))) (not (= X1 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c5))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (forall ((X2 $$unsorted) (X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 X1))) (not (= X1 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c5)))))))) :rule all_simplify)
% 23.33/23.56 (step t133 (cl (= (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule refl)
% 23.33/23.56 (step t134 (cl (= (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule refl)
% 23.33/23.56 (step t135 (cl (= (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))))) :rule refl)
% 23.33/23.56 (step t136 (cl (= (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))))) :rule refl)
% 23.33/23.56 (step t137 (cl (= (forall ((X2 $$unsorted) (X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 X1))) (not (= X1 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c5))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))) (not (= (tptp.inverse X2) (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5))))))) :rule all_simplify)
% 23.33/23.56 (anchor :step t138 :args ((X2 $$unsorted) (:= X2 X2)))
% 23.33/23.56 (step t138.t1 (cl (= X2 X2)) :rule refl)
% 23.33/23.56 (step t138.t2 (cl (= (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))))) :rule refl)
% 23.33/23.56 (step t138.t3 (cl (= (= (tptp.inverse X2) (tptp.inverse X2)) true)) :rule all_simplify)
% 23.33/23.56 (step t138.t4 (cl (= (not (= (tptp.inverse X2) (tptp.inverse X2))) (not true))) :rule cong :premises (t138.t3))
% 23.33/23.56 (step t138.t5 (cl (= (not true) false)) :rule all_simplify)
% 23.33/23.56 (step t138.t6 (cl (= (not (= (tptp.inverse X2) (tptp.inverse X2))) false)) :rule trans :premises (t138.t4 t138.t5))
% 23.33/23.56 (step t138.t7 (cl (= (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5))))) :rule refl)
% 23.33/23.56 (step t138.t8 (cl (= (or (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))) (not (= (tptp.inverse X2) (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5)))) (or (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))) false (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5)))))) :rule cong :premises (t138.t2 t138.t6 t138.t7))
% 23.33/23.56 (step t138.t9 (cl (= (or (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))) false (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5)))) (or (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5)))))) :rule all_simplify)
% 23.33/23.56 (step t138.t10 (cl (= (or (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))) (not (= (tptp.inverse X2) (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5)))) (or (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5)))))) :rule trans :premises (t138.t8 t138.t9))
% 23.33/23.56 (step t138 (cl (= (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))) (not (= (tptp.inverse X2) (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5))))))) :rule bind)
% 23.33/23.56 (step t139 (cl (= (forall ((X2 $$unsorted) (X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 X1))) (not (= X1 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c5))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5))))))) :rule trans :premises (t137 t138))
% 23.33/23.56 (step t140 (cl (= (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (forall ((X2 $$unsorted) (X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 X1))) (not (= X1 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c5)))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5)))))))) :rule cong :premises (t133 t134 t135 t136 t139))
% 23.33/23.56 (step t141 (cl (= (forall ((X3 $$unsorted) (X4 $$unsorted) (X2 $$unsorted) (X1 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply X2 X1))) (not (= X1 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c5))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5)))))))) :rule trans :premises (t132 t140))
% 23.33/23.56 (step t142 (cl (= (forall ((X3 $$unsorted) (X4 $$unsorted) (X2 $$unsorted) (X1 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.multiply X3 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= (tptp.multiply X4 tptp.sk_c5) tptp.sk_c6)) (not (= (tptp.inverse X4) tptp.sk_c5)) (not (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.multiply X2 X1) tptp.sk_c6)) (not (= (tptp.inverse X2) X1)) (not (= (tptp.multiply X1 tptp.sk_c5) tptp.sk_c6)))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5)))))))) :rule trans :premises (t131 t141))
% 23.33/23.56 (step t143 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5))))))) :rule resolution :premises (t130 t142 a23))
% 23.33/23.56 (step t144 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5)))))) :rule or :premises (t143))
% 23.33/23.56 (step t145 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4)))))) :rule implies_neg1)
% 23.33/23.56 (anchor :step t146)
% 23.33/23.56 (assume t146.a0 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))))
% 23.33/23.56 (step t146.t1 (cl (or (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))))) :rule forall_inst :args ((:= X4 tptp.sk_c4)))
% 23.33/23.56 (step t146.t2 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) :rule or :premises (t146.t1))
% 23.33/23.56 (step t146.t3 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t146.t2 t146.a0))
% 23.33/23.56 (step t146 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) :rule subproof :discharge (t146.a0))
% 23.33/23.56 (step t147 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t145 t146))
% 23.33/23.56 (step t148 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))))) :rule implies_neg2)
% 23.33/23.56 (step t149 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))))) :rule resolution :premises (t147 t148))
% 23.33/23.56 (step t150 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))))) :rule contraction :premises (t149))
% 23.33/23.56 (step t151 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) :rule implies :premises (t150))
% 23.33/23.56 (step t152 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) :rule implies_neg1)
% 23.33/23.56 (anchor :step t153)
% 23.33/23.56 (assume t153.a0 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))))
% 23.33/23.56 (step t153.t1 (cl (or (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))))) :rule forall_inst :args ((:= X3 tptp.sk_c4)))
% 23.33/23.56 (step t153.t2 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))))) :rule or :premises (t153.t1))
% 23.33/23.56 (step t153.t3 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t153.t2 t153.a0))
% 23.33/23.56 (step t153 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))))) :rule subproof :discharge (t153.a0))
% 23.33/23.56 (step t154 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t152 t153))
% 23.33/23.56 (step t155 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))))) (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))))) :rule implies_neg2)
% 23.33/23.56 (step t156 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))))) (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))))) :rule resolution :premises (t154 t155))
% 23.33/23.56 (step t157 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))))) :rule contraction :premises (t156))
% 23.33/23.56 (step t158 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))))) :rule implies :premises (t157))
% 23.33/23.56 (step t159 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5)))))) :rule implies_neg1)
% 23.33/23.56 (anchor :step t160)
% 23.33/23.56 (assume t160.a0 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5))))))
% 23.33/23.56 (step t160.t1 (cl (or (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5)))))) :rule forall_inst :args ((:= X2 tptp.sk_c7)))
% 23.33/23.56 (step t160.t2 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))))) :rule or :premises (t160.t1))
% 23.33/23.56 (step t160.t3 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))))) :rule resolution :premises (t160.t2 t160.a0))
% 23.33/23.56 (step t160 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))))) :rule subproof :discharge (t160.a0))
% 23.33/23.56 (step t161 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))))) :rule resolution :premises (t159 t160))
% 23.33/23.56 (step t162 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))))) (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5)))))) :rule implies_neg2)
% 23.33/23.56 (step t163 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))))) (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5)))))) :rule resolution :premises (t161 t162))
% 23.33/23.56 (step t164 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5)))))) :rule contraction :premises (t163))
% 23.33/23.56 (step t165 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))))) :rule implies :premises (t164))
% 23.33/23.56 (step t166 (cl (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) :rule or_pos)
% 23.33/23.56 (step t167 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))))) :rule reordering :premises (t166))
% 23.33/23.56 (step t168 (cl (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))) :rule or_pos)
% 23.33/23.56 (step t169 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))))) :rule reordering :premises (t168))
% 23.33/23.56 (step t170 (cl (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5)))) :rule or_pos)
% 23.33/23.56 (step t171 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5)))))) :rule reordering :premises (t170))
% 23.33/23.56 (step t172 (cl (not (= (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 23.33/23.56 (step t173 (cl (= (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule refl)
% 23.33/23.56 (step t174 (cl (= (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule refl)
% 23.33/23.56 (step t175 (cl (= (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule refl)
% 23.33/23.56 (step t176 (cl (= (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule refl)
% 23.33/23.56 (step t177 (cl (= (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))))) :rule refl)
% 23.33/23.56 (step t178 (cl (= (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule refl)
% 23.33/23.56 (step t179 (cl (= (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule refl)
% 23.33/23.56 (step t180 (cl (= (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) :rule refl)
% 23.33/23.56 (step t181 (cl (= (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))) :rule refl)
% 23.33/23.56 (step t182 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))))) :rule refl)
% 23.33/23.56 (step t183 (cl (= (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))))) :rule refl)
% 23.33/23.56 (step t184 (cl (= (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) :rule refl)
% 23.33/23.56 (step t185 (cl (= (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))) :rule refl)
% 23.33/23.56 (step t186 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))))) :rule refl)
% 23.33/23.56 (step t187 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))))) :rule refl)
% 23.33/23.56 (step t188 (cl (= (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) :rule refl)
% 23.33/23.56 (step t189 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))))) :rule refl)
% 23.33/23.56 (step t190 (cl (= (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))))) :rule refl)
% 23.33/23.56 (step t191 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))))) :rule refl)
% 23.33/23.56 (step t192 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) :rule refl)
% 23.33/23.56 (step t193 (cl (= (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))))) :rule refl)
% 23.33/23.56 (step t194 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))))) :rule refl)
% 23.33/23.56 (step t195 (cl (= (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))))) :rule refl)
% 23.33/23.56 (step t196 (cl (= (= (= (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) true) (= (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) :rule equiv_simplify)
% 23.33/23.56 (step t197 (cl (not (= (= (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) true)) (= (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) :rule equiv1 :premises (t196))
% 23.33/23.56 (step t198 (cl (= (= (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))))) :rule all_simplify)
% 23.33/23.56 (step t199 (cl (= (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) :rule refl)
% 23.33/23.56 (step t200 (cl (= (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) :rule all_simplify)
% 23.33/23.56 (step t201 (cl (= (= (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (= (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t199 t200))
% 23.33/23.56 (step t202 (cl (= (= (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) true)) :rule all_simplify)
% 23.33/23.56 (step t203 (cl (= (= (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) true)) :rule trans :premises (t201 t202))
% 23.33/23.56 (step t204 (cl (= (= (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) true)) :rule trans :premises (t198 t203))
% 23.33/23.56 (step t205 (cl (= (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t197 t204))
% 23.33/23.56 (step t206 (cl (= (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t173 t174 t2 t3 t175 t176 t4 t177 t178 t179 t180 t181 t182 t183 t184 t185 t186 t16 t17 t18 t19 t187 t188 t189 t190 t191 t192 t193 t194 t195 t205))
% 23.33/23.56 (step t207 (cl (not (= (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))))) (not (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))))) :rule equiv_pos2)
% 23.33/23.56 (step t208 (cl (= (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))))) :rule refl)
% 23.33/23.56 (step t209 (cl (= (= (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) false) (not (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))))) :rule equiv_simplify)
% 23.33/23.56 (step t210 (cl (= (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) false) (not (not (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))))) :rule equiv2 :premises (t209))
% 23.33/23.56 (step t211 (cl (not (not (not (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))))) (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule not_not)
% 23.33/23.56 (step t212 (cl (= (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) false) (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule resolution :premises (t210 t211))
% 23.33/23.56 (step t213 (cl (=> (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) false) (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule implies_neg1)
% 23.33/23.56 (anchor :step t214)
% 23.33/23.56 (assume t214.a0 (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))
% 23.33/23.56 (assume t214.a1 (= tptp.sk_c7 tptp.sk_c5))
% 23.33/23.56 (assume t214.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))
% 23.33/23.56 (assume t214.a3 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 23.33/23.56 (step t214.t1 (cl (not (= (= true false) false)) (not (= true false)) false) :rule equiv_pos2)
% 23.33/23.56 (step t214.t2 (cl (= (= true false) false)) :rule all_simplify)
% 23.33/23.56 (step t214.t3 (cl (= (= (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) true) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) :rule equiv_simplify)
% 23.33/23.56 (step t214.t4 (cl (= (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) true) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) :rule equiv2 :premises (t214.t3))
% 23.33/23.56 (step t214.t5 (cl (= tptp.sk_c5 tptp.sk_c7)) :rule symm :premises (t214.a1))
% 23.33/23.56 (step t214.t6 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t214.a3))
% 23.33/23.56 (step t214.t7 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c7)) :rule symm :premises (t214.a2))
% 23.33/23.56 (step t214.t8 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t214.t7))
% 23.33/23.56 (step t214.t9 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.inverse tptp.sk_c4))) :rule trans :premises (t214.t6 t214.t8))
% 23.33/23.56 (step t214.t10 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) :rule trans :premises (t214.t5 t214.a3 t214.t9))
% 23.33/23.56 (step t214.t11 (cl (= (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) true)) :rule resolution :premises (t214.t4 t214.t10))
% 23.33/23.56 (step t214.t12 (cl (= true (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) :rule symm :premises (t214.t11))
% 23.33/23.56 (step t214.t13 (cl (= (= (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) false) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) :rule equiv_simplify)
% 23.33/23.56 (step t214.t14 (cl (= (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) false) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) :rule equiv2 :premises (t214.t13))
% 23.33/23.56 (step t214.t15 (cl (not (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) :rule not_not)
% 23.33/23.56 (step t214.t16 (cl (= (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) false) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) :rule resolution :premises (t214.t14 t214.t15))
% 23.33/23.56 (step t214.t17 (cl (= (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)) false)) :rule resolution :premises (t214.t16 t214.a0))
% 23.33/23.56 (step t214.t18 (cl (= true false)) :rule trans :premises (t214.t12 t214.t17))
% 23.33/23.56 (step t214.t19 (cl false) :rule resolution :premises (t214.t1 t214.t2 t214.t18))
% 23.33/23.56 (step t214 (cl (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c7 tptp.sk_c5)) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) false) :rule subproof :discharge (t214.a0 t214.a1 t214.a2 t214.a3))
% 23.33/23.56 (step t215 (cl (not (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) :rule and_pos)
% 23.33/23.56 (step t216 (cl (not (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 tptp.sk_c5)) :rule and_pos)
% 23.33/23.56 (step t217 (cl (not (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 23.33/23.56 (step t218 (cl (not (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 23.33/23.56 (step t219 (cl false (not (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule resolution :premises (t214 t215 t216 t217 t218))
% 23.33/23.56 (step t220 (cl (not (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) false) :rule reordering :premises (t219))
% 23.33/23.56 (step t221 (cl (not (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) false) :rule contraction :premises (t220))
% 23.33/23.56 (step t222 (cl (=> (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) false) false) :rule resolution :premises (t213 t221))
% 23.33/23.56 (step t223 (cl (=> (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) false) (not false)) :rule implies_neg2)
% 23.33/23.56 (step t224 (cl (=> (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) false) (=> (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) false)) :rule resolution :premises (t222 t223))
% 23.33/23.56 (step t225 (cl (=> (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) false)) :rule contraction :premises (t224))
% 23.33/23.56 (step t226 (cl (= (=> (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) false) (not (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))))) :rule implies_simplify)
% 23.33/23.56 (step t227 (cl (not (=> (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) false)) (not (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule equiv1 :premises (t226))
% 23.33/23.56 (step t228 (cl (not (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule resolution :premises (t225 t227))
% 23.33/23.56 (step t229 (cl (= (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) false)) :rule resolution :premises (t212 t228))
% 23.33/23.56 (step t230 (cl (= (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) false))) :rule cong :premises (t208 t229))
% 23.33/23.56 (step t231 (cl (= (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) false) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))))) :rule all_simplify)
% 23.33/23.56 (step t232 (cl (= (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))))) :rule trans :premises (t230 t231))
% 23.33/23.56 (step t233 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) :rule implies_neg1)
% 23.33/23.56 (anchor :step t234)
% 23.33/23.56 (assume t234.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 23.33/23.56 (assume t234.a1 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))
% 23.33/23.56 (assume t234.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))
% 23.33/23.56 (assume t234.a3 (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))
% 23.33/23.56 (assume t234.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 23.33/23.56 (assume t234.a5 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 23.33/23.56 (assume t234.a6 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 23.33/23.56 (assume t234.a7 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))
% 23.33/23.56 (assume t234.a8 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))))
% 23.33/23.56 (assume t234.a9 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 23.33/23.56 (assume t234.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))
% 23.33/23.56 (assume t234.a11 (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.56 (assume t234.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))
% 23.33/23.56 (assume t234.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))))
% 23.33/23.56 (assume t234.a14 (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))
% 23.33/23.56 (assume t234.a15 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.56 (assume t234.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))
% 23.33/23.56 (assume t234.a17 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 23.33/23.56 (assume t234.a18 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 23.33/23.56 (assume t234.a19 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))))
% 23.33/23.56 (assume t234.a20 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))
% 23.33/23.56 (assume t234.a21 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))
% 23.33/23.56 (assume t234.a22 (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))
% 23.33/23.56 (assume t234.a23 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))
% 23.33/23.56 (assume t234.a24 (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))))
% 23.33/23.56 (assume t234.a25 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))))
% 23.33/23.56 (assume t234.a26 (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))
% 23.33/23.56 (assume t234.a27 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))))
% 23.33/23.56 (assume t234.a28 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))
% 23.33/23.56 (assume t234.a29 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))
% 23.33/23.56 (assume t234.a30 (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))
% 23.33/23.56 (step t234.t1 (cl (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c7 tptp.sk_c5)) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_neg)
% 23.33/23.56 (step t234.t2 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 tptp.sk_c5)) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule implies_neg1)
% 23.33/23.56 (anchor :step t234.t3)
% 23.33/23.56 (assume t234.t3.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 23.33/23.56 (assume t234.t3.a1 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 23.33/23.56 (assume t234.t3.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))
% 23.33/23.56 (assume t234.t3.a3 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 23.33/23.56 (assume t234.t3.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 23.33/23.56 (assume t234.t3.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))
% 23.33/23.56 (assume t234.t3.a6 (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))
% 23.33/23.56 (assume t234.t3.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))))
% 23.33/23.56 (assume t234.t3.a8 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 23.33/23.56 (assume t234.t3.a9 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))
% 23.33/23.56 (step t234.t3.t1 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t234.t3.a9))
% 23.33/23.56 (step t234.t3.t2 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule symm :premises (t234.t3.t1))
% 23.33/23.56 (step t234.t3.t3 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 23.33/23.56 (step t234.t3.t4 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule cong :premises (t234.t3.a0 t234.t3.t3))
% 23.33/23.56 (step t234.t3.t5 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t234.t3.a8))
% 23.33/23.56 (step t234.t3.t6 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule symm :premises (t234.t3.t5))
% 23.33/23.56 (step t234.t3.t7 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule refl)
% 23.33/23.56 (step t234.t3.t8 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule cong :premises (t234.t3.a1 t234.t3.t7))
% 23.33/23.56 (step t234.t3.t9 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t234.t3.a1))
% 23.33/23.56 (step t234.t3.t10 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6))) :rule cong :premises (t234.t3.a2 t234.t3.t3))
% 23.33/23.56 (step t234.t3.t11 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6))) :rule symm :premises (t234.t3.a7))
% 23.33/23.56 (step t234.t3.t12 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule symm :premises (t234.t3.t11))
% 23.33/23.56 (step t234.t3.t13 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 23.33/23.56 (step t234.t3.t14 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c4)) :rule symm :premises (t234.t3.a6))
% 23.33/23.56 (step t234.t3.t15 (cl (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t234.t3.t14))
% 23.33/23.56 (step t234.t3.t16 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule cong :premises (t234.t3.t15 t234.t3.a2))
% 23.33/23.56 (step t234.t3.t17 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4))) :rule symm :premises (t234.t3.a5))
% 23.33/23.56 (step t234.t3.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t234.t3.a4))
% 23.33/23.56 (step t234.t3.t19 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 23.33/23.56 (step t234.t3.t20 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t234.t3.t18 t234.t3.t19))
% 23.33/23.56 (step t234.t3.t21 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t234.t3.a3))
% 23.33/23.56 (step t234.t3.t22 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c6) tptp.sk_c4)) :rule trans :premises (t234.t3.t16 t234.t3.t17 t234.t3.t20 t234.t3.t21))
% 23.33/23.56 (step t234.t3.t23 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule cong :premises (t234.t3.t13 t234.t3.t22))
% 23.33/23.56 (step t234.t3.t24 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t234.t3.a2))
% 23.33/23.56 (step t234.t3.t25 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) tptp.sk_c6)) :rule trans :premises (t234.t3.t10 t234.t3.t12 t234.t3.t23 t234.t3.t24))
% 23.33/23.56 (step t234.t3.t26 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t234.t3.t9 t234.t3.t25))
% 23.33/23.56 (step t234.t3.t27 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5)) :rule symm :premises (t234.t3.a0))
% 23.33/23.56 (step t234.t3.t28 (cl (= tptp.sk_c7 tptp.sk_c5)) :rule trans :premises (t234.t3.t2 t234.t3.t4 t234.t3.t6 t234.t3.t8 t234.t3.t26 t234.t3.t27))
% 23.33/23.56 (step t234.t3 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 tptp.sk_c5)) :rule subproof :discharge (t234.t3.a0 t234.t3.a1 t234.t3.a2 t234.t3.a3 t234.t3.a4 t234.t3.a5 t234.t3.a6 t234.t3.a7 t234.t3.a8 t234.t3.a9))
% 23.33/23.56 (step t234.t4 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 23.33/23.56 (step t234.t5 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 23.33/23.56 (step t234.t6 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule and_pos)
% 23.33/23.56 (step t234.t7 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 23.33/23.56 (step t234.t8 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 23.33/23.56 (step t234.t9 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule and_pos)
% 23.33/23.56 (step t234.t10 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 23.33/23.56 (step t234.t11 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.56 (step t234.t12 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.56 (step t234.t13 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule and_pos)
% 23.33/23.56 (step t234.t14 (cl (= tptp.sk_c7 tptp.sk_c5) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule resolution :premises (t234.t3 t234.t4 t234.t5 t234.t6 t234.t7 t234.t8 t234.t9 t234.t10 t234.t11 t234.t12 t234.t13))
% 23.33/23.56 (step t234.t15 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.sk_c7 tptp.sk_c5)) :rule reordering :premises (t234.t14))
% 23.33/23.56 (step t234.t16 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.sk_c7 tptp.sk_c5)) :rule contraction :premises (t234.t15))
% 23.33/23.56 (step t234.t17 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 tptp.sk_c5)) :rule resolution :premises (t234.t2 t234.t16))
% 23.33/23.56 (step t234.t18 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 tptp.sk_c5)) (not (= tptp.sk_c7 tptp.sk_c5))) :rule implies_neg2)
% 23.33/23.56 (step t234.t19 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 tptp.sk_c5)) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 tptp.sk_c5))) :rule resolution :premises (t234.t17 t234.t18))
% 23.33/23.56 (step t234.t20 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 tptp.sk_c5))) :rule contraction :premises (t234.t19))
% 23.33/23.56 (step t234.t21 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.sk_c7 tptp.sk_c5)) :rule implies :premises (t234.t20))
% 23.33/23.56 (step t234.t22 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_neg)
% 23.33/23.56 (step t234.t23 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule resolution :premises (t234.t22 t234.a0 t234.a9 t234.a2 t234.a18 t234.a17 t234.a20 t234.a3 t234.a19 t234.a5 t234.a1))
% 23.33/23.56 (step t234.t24 (cl (= tptp.sk_c7 tptp.sk_c5)) :rule resolution :premises (t234.t21 t234.t23))
% 23.33/23.56 (step t234.t25 (cl (=> (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule implies_neg1)
% 23.33/23.56 (anchor :step t234.t26)
% 23.33/23.56 (assume t234.t26.a0 (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))))
% 23.33/23.56 (assume t234.t26.a1 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))
% 23.33/23.56 (assume t234.t26.a2 (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 23.33/23.56 (assume t234.t26.a3 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))
% 23.33/23.56 (assume t234.t26.a4 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.56 (assume t234.t26.a5 (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.56 (assume t234.t26.a6 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))))
% 23.33/23.56 (assume t234.t26.a7 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))
% 23.33/23.56 (assume t234.t26.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))
% 23.33/23.56 (assume t234.t26.a9 (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))
% 23.33/23.56 (assume t234.t26.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))
% 23.33/23.56 (assume t234.t26.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 23.33/23.56 (assume t234.t26.a12 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 23.33/23.56 (assume t234.t26.a13 (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))
% 23.33/23.56 (assume t234.t26.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))))
% 23.33/23.56 (assume t234.t26.a15 (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))
% 23.33/23.56 (assume t234.t26.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))
% 23.33/23.56 (assume t234.t26.a17 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 23.33/23.56 (assume t234.t26.a18 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 23.33/23.56 (assume t234.t26.a19 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))
% 23.33/23.56 (assume t234.t26.a20 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 23.33/23.56 (assume t234.t26.a21 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))
% 23.33/23.56 (assume t234.t26.a22 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))))
% 23.33/23.56 (assume t234.t26.a23 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))
% 23.33/23.56 (assume t234.t26.a24 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))))
% 23.33/23.56 (assume t234.t26.a25 (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))
% 23.33/23.56 (assume t234.t26.a26 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))
% 23.33/23.56 (assume t234.t26.a27 (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))))
% 23.33/23.56 (assume t234.t26.a28 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 23.33/23.56 (assume t234.t26.a29 (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))
% 23.33/23.56 (step t234.t26.t1 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule symm :premises (t234.t26.a9))
% 23.33/23.56 (step t234.t26.t2 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule symm :premises (t234.t26.t1))
% 23.33/23.56 (step t234.t26.t3 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule refl)
% 23.33/23.56 (step t234.t26.t4 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule cong :premises (t234.t26.a4 t234.t26.t3))
% 23.33/23.56 (step t234.t26.t5 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule symm :premises (t234.t26.a8))
% 23.33/23.56 (step t234.t26.t6 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule symm :premises (t234.t26.t5))
% 23.33/23.56 (step t234.t26.t7 (cl (= (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule refl)
% 23.33/23.56 (step t234.t26.t8 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule refl)
% 23.33/23.56 (step t234.t26.t9 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t234.t26.a3))
% 23.33/23.56 (step t234.t26.t10 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule symm :premises (t234.t26.t9))
% 23.33/23.56 (step t234.t26.t11 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5)) :rule symm :premises (t234.t26.a2))
% 23.33/23.56 (step t234.t26.t12 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule symm :premises (t234.t26.t11))
% 23.33/23.56 (step t234.t26.t13 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 23.33/23.56 (step t234.t26.t14 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule cong :premises (t234.t26.t12 t234.t26.t13))
% 23.33/23.56 (step t234.t26.t15 (cl (= tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule trans :premises (t234.t26.t10 t234.t26.t14))
% 23.33/23.56 (step t234.t26.t16 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 23.33/23.56 (step t234.t26.t17 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.inverse tptp.sk_c7)))) :rule cong :premises (t234.t26.t15 t234.t26.t16))
% 23.33/23.56 (step t234.t26.t18 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t234.t26.t15))
% 23.33/23.56 (step t234.t26.t19 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule cong :premises (t234.t26.t15))
% 23.33/23.56 (step t234.t26.t20 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule cong :premises (t234.t26.t14))
% 23.33/23.56 (step t234.t26.t21 (cl (= (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule symm :premises (t234.t26.t20))
% 23.33/23.56 (step t234.t26.t22 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule trans :premises (t234.t26.t19 t234.t26.t21))
% 23.33/23.56 (step t234.t26.t23 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t234.t26.t18 t234.t26.t22))
% 23.33/23.56 (step t234.t26.t24 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t234.t26.t10 t234.t26.t8))
% 23.33/23.56 (step t234.t26.t25 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule trans :premises (t234.t26.t17 t234.t26.t23 t234.t26.t24))
% 23.33/23.56 (step t234.t26.t26 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule cong :premises (t234.t26.t8 t234.t26.t25))
% 23.33/23.56 (step t234.t26.t27 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule symm :premises (t234.t26.a7))
% 23.33/23.56 (step t234.t26.t28 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.identity)) :rule symm :premises (t234.t26.a6))
% 23.33/23.56 (step t234.t26.t29 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t234.t26.t28 t234.t26.t8))
% 23.33/23.56 (step t234.t26.t30 (cl (= (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule symm :premises (t234.t26.a5))
% 23.33/23.56 (step t234.t26.t31 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule trans :premises (t234.t26.t26 t234.t26.t27 t234.t26.t29 t234.t26.t30))
% 23.33/23.56 (step t234.t26.t32 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t234.t26.t7 t234.t26.t31))
% 23.33/23.56 (step t234.t26.t33 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.identity)) :rule symm :premises (t234.t26.a4))
% 23.33/23.56 (step t234.t26.t34 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.identity)) :rule trans :premises (t234.t26.t2 t234.t26.t4 t234.t26.t6 t234.t26.t32 t234.t26.t33))
% 23.33/23.56 (step t234.t26.t35 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule symm :premises (t234.t26.t34))
% 23.33/23.56 (step t234.t26.t36 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.inverse tptp.sk_c7)))) :rule symm :premises (t234.t26.t23))
% 23.33/23.56 (step t234.t26.t37 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule symm :premises (t234.t26.t17))
% 23.33/23.56 (step t234.t26.t38 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule trans :premises (t234.t26.t36 t234.t26.t37))
% 23.33/23.56 (step t234.t26.t39 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule symm :premises (t234.t26.t38))
% 23.33/23.56 (step t234.t26.t40 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule trans :premises (t234.t26.t35 t234.t26.t39))
% 23.33/23.56 (step t234.t26.t41 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 23.33/23.56 (step t234.t26.t42 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7))) :rule cong :premises (t234.t26.t40 t234.t26.t41))
% 23.33/23.56 (step t234.t26.t43 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7))) :rule symm :premises (t234.t26.a29))
% 23.33/23.56 (step t234.t26.t44 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) :rule symm :premises (t234.t26.t43))
% 23.33/23.56 (step t234.t26.t45 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule cong :premises (t234.t26.t20 t234.t26.t15))
% 23.33/23.56 (step t234.t26.t46 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) tptp.identity)) :rule symm :premises (t234.t26.a1))
% 23.33/23.56 (step t234.t26.t47 (cl (= (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) :rule refl)
% 23.33/23.56 (step t234.t26.t48 (cl (= (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4))) :rule refl)
% 23.33/23.56 (step t234.t26.t49 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule symm :premises (t234.t26.t32))
% 23.33/23.56 (step t234.t26.t50 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) :rule symm :premises (t234.t26.t45))
% 23.33/23.56 (step t234.t26.t51 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t234.t26.a11))
% 23.33/23.56 (step t234.t26.t52 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule symm :premises (t234.t26.t51))
% 23.33/23.56 (step t234.t26.t53 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t234.t26.a12))
% 23.33/23.56 (step t234.t26.t54 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule refl)
% 23.33/23.56 (step t234.t26.t55 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule cong :premises (t234.t26.t53 t234.t26.t54))
% 23.33/23.56 (step t234.t26.t56 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule symm :premises (t234.t26.t55))
% 23.33/23.56 (step t234.t26.t57 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 23.33/23.56 (step t234.t26.t58 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t234.t26.a18))
% 23.33/23.56 (step t234.t26.t59 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule symm :premises (t234.t26.t58))
% 23.33/23.56 (step t234.t26.t60 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t234.t26.a17))
% 23.33/23.56 (step t234.t26.t61 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t234.t26.t60))
% 23.33/23.56 (step t234.t26.t62 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 23.33/23.56 (step t234.t26.t63 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4))) :rule cong :premises (t234.t26.t61 t234.t26.t62))
% 23.33/23.56 (step t234.t26.t64 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4))) :rule symm :premises (t234.t26.a16))
% 23.33/23.56 (step t234.t26.t65 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule symm :premises (t234.t26.t64))
% 23.33/23.56 (step t234.t26.t66 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c4)) :rule symm :premises (t234.t26.a15))
% 23.33/23.56 (step t234.t26.t67 (cl (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t234.t26.t66))
% 23.33/23.56 (step t234.t26.t68 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c4)) :rule symm :premises (t234.t26.t67))
% 23.33/23.56 (step t234.t26.t69 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t234.t26.a13))
% 23.33/23.56 (step t234.t26.t70 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (tptp.multiply tptp.sk_c4 tptp.sk_c6))) :rule cong :premises (t234.t26.t68 t234.t26.t69))
% 23.33/23.56 (step t234.t26.t71 (cl (= tptp.sk_c4 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) :rule trans :premises (t234.t26.t59 t234.t26.t63 t234.t26.t65 t234.t26.t70))
% 23.33/23.56 (step t234.t26.t72 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule cong :premises (t234.t26.t57 t234.t26.t71))
% 23.33/23.56 (step t234.t26.t73 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6))) :rule symm :premises (t234.t26.a14))
% 23.33/23.56 (step t234.t26.t74 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule symm :premises (t234.t26.t73))
% 23.33/23.56 (step t234.t26.t75 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6))) :rule symm :premises (t234.t26.t74))
% 23.33/23.56 (step t234.t26.t76 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule cong :premises (t234.t26.t69 t234.t26.t13))
% 23.33/23.56 (step t234.t26.t77 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule trans :premises (t234.t26.a13 t234.t26.t72 t234.t26.t75 t234.t26.t76))
% 23.33/23.56 (step t234.t26.t78 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule cong :premises (t234.t26.a12 t234.t26.t77))
% 23.33/23.56 (step t234.t26.t79 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule symm :premises (t234.t26.t78))
% 23.33/23.56 (step t234.t26.t80 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) :rule cong :premises (t234.t26.t10 t234.t26.t13))
% 23.33/23.56 (step t234.t26.t81 (cl (= tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) :rule trans :premises (t234.t26.t10 t234.t26.t14 t234.t26.t52 t234.t26.t56 t234.t26.t79 t234.t26.t80))
% 23.33/23.56 (step t234.t26.t82 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) :rule cong :premises (t234.t26.t8 t234.t26.t81))
% 23.33/23.56 (step t234.t26.t83 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6))) :rule symm :premises (t234.t26.a21))
% 23.33/23.56 (step t234.t26.t84 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t234.t26.t28 t234.t26.t13))
% 23.33/23.56 (step t234.t26.t85 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t234.t26.a20))
% 23.33/23.56 (step t234.t26.t86 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t234.t26.a28))
% 23.33/23.56 (step t234.t26.t87 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule symm :premises (t234.t26.t86))
% 23.33/23.56 (step t234.t26.t88 (cl (= tptp.identity (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule trans :premises (t234.t26.a1 t234.t26.t50 t234.t26.t82 t234.t26.t83 t234.t26.t84 t234.t26.t85 t234.t26.t87))
% 23.33/23.56 (step t234.t26.t89 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c7))) :rule symm :premises (t234.t26.t22))
% 23.33/23.56 (step t234.t26.t90 (cl (= (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)))) :rule cong :premises (t234.t26.t88 t234.t26.t89))
% 23.33/23.56 (step t234.t26.t91 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)))) :rule symm :premises (t234.t26.a27))
% 23.33/23.56 (step t234.t26.t92 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) :rule symm :premises (t234.t26.t91))
% 23.33/23.56 (step t234.t26.t93 (cl (= (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.inverse tptp.sk_c7)))) :rule cong :premises (t234.t26.t12 t234.t26.t16))
% 23.33/23.56 (step t234.t26.t94 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t234.t26.t52))
% 23.33/23.56 (step t234.t26.t95 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule symm :premises (t234.t26.t14))
% 23.33/23.56 (step t234.t26.t96 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c7)) :rule trans :premises (t234.t26.t78 t234.t26.t55 t234.t26.t94 t234.t26.t95 t234.t26.t9))
% 23.33/23.56 (step t234.t26.t97 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t234.t26.t96 t234.t26.t22))
% 23.33/23.56 (step t234.t26.t98 (cl (= (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)) tptp.sk_c6)) :rule trans :premises (t234.t26.t93 t234.t26.t97 t234.t26.t36 t234.t26.t37 t234.t26.t2 t234.t26.t4 t234.t26.t6 t234.t26.t32 t234.t26.t33 t234.t26.a1 t234.t26.t50 t234.t26.t82 t234.t26.t83 t234.t26.t84 t234.t26.t85))
% 23.33/23.56 (step t234.t26.t99 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))) (tptp.multiply tptp.sk_c4 tptp.sk_c6))) :rule cong :premises (t234.t26.t62 t234.t26.t98))
% 23.33/23.56 (step t234.t26.t100 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule symm :premises (t234.t26.t70))
% 23.33/23.56 (step t234.t26.t101 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule symm :premises (t234.t26.t63))
% 23.33/23.56 (step t234.t26.t102 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c4)) :rule trans :premises (t234.t26.a5 t234.t26.t90 t234.t26.t92 t234.t26.t99 t234.t26.t100 t234.t26.t64 t234.t26.t101 t234.t26.t58))
% 23.33/23.56 (step t234.t26.t103 (cl (= (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4))) :rule cong :premises (t234.t26.t102))
% 23.33/23.56 (step t234.t26.t104 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t234.t26.t103 t234.t26.t31))
% 23.33/23.56 (step t234.t26.t105 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule trans :premises (t234.t26.t45 t234.t26.t46 t234.t26.a4 t234.t26.t49 t234.t26.t104))
% 23.33/23.56 (step t234.t26.t106 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule cong :premises (t234.t26.t48 t234.t26.t105))
% 23.33/23.56 (step t234.t26.t107 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule symm :premises (t234.t26.a26))
% 23.33/23.56 (step t234.t26.t108 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule trans :premises (t234.t26.t106 t234.t26.t107))
% 23.33/23.56 (step t234.t26.t109 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)))) :rule cong :premises (t234.t26.t108 t234.t26.t48))
% 23.33/23.56 (step t234.t26.t110 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)))) :rule symm :premises (t234.t26.a25))
% 23.33/23.56 (step t234.t26.t111 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule symm :premises (t234.t26.t110))
% 23.33/23.56 (step t234.t26.t112 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) tptp.identity)) :rule trans :premises (t234.t26.t45 t234.t26.t46))
% 23.33/23.56 (step t234.t26.t113 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) :rule cong :premises (t234.t26.t112 t234.t26.t48))
% 23.33/23.56 (step t234.t26.t114 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) :rule symm :premises (t234.t26.t113))
% 23.33/23.56 (step t234.t26.t115 (cl (= (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) :rule trans :premises (t234.t26.a0 t234.t26.t114))
% 23.33/23.56 (step t234.t26.t116 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t234.t26.t48 t234.t26.t115))
% 23.33/23.56 (step t234.t26.t117 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) :rule symm :premises (t234.t26.a24))
% 23.33/23.56 (step t234.t26.t118 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) :rule trans :premises (t234.t26.t116 t234.t26.t117))
% 23.33/23.56 (step t234.t26.t119 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) :rule refl)
% 23.33/23.56 (step t234.t26.t120 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t234.t26.t118 t234.t26.t119))
% 23.33/23.56 (step t234.t26.t121 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule trans :premises (t234.t26.t109 t234.t26.t111 t234.t26.t120))
% 23.33/23.56 (step t234.t26.t122 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) :rule cong :premises (t234.t26.t47 t234.t26.t121))
% 23.33/23.56 (step t234.t26.t123 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule symm :premises (t234.t26.a23))
% 23.33/23.56 (step t234.t26.t124 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) tptp.identity)) :rule symm :premises (t234.t26.a22))
% 23.33/23.56 (step t234.t26.t125 (cl (= tptp.identity tptp.sk_c6)) :rule trans :premises (t234.t26.a1 t234.t26.t50 t234.t26.t82 t234.t26.t83 t234.t26.t84 t234.t26.t85))
% 23.33/23.56 (step t234.t26.t126 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) tptp.sk_c6)) :rule trans :premises (t234.t26.t124 t234.t26.t125))
% 23.33/23.56 (step t234.t26.t127 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t234.t26.t126 t234.t26.t119))
% 23.33/23.56 (step t234.t26.t128 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule trans :premises (t234.t26.t45 t234.t26.t46 t234.t26.a22 t234.t26.t122 t234.t26.t123 t234.t26.t127))
% 23.33/23.56 (step t234.t26.t129 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) :rule cong :premises (t234.t26.t41 t234.t26.t128))
% 23.33/23.56 (step t234.t26.t130 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule symm :premises (t234.t26.a19))
% 23.33/23.56 (step t234.t26.t131 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t234.t26.t96 t234.t26.t119))
% 23.33/23.56 (step t234.t26.t132 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)))) :rule symm :premises (t234.t26.a10))
% 23.33/23.56 (step t234.t26.t133 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) :rule symm :premises (t234.t26.t112))
% 23.33/23.56 (step t234.t26.t134 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) :rule trans :premises (t234.t26.t38 t234.t26.t34 t234.t26.t133))
% 23.33/23.56 (step t234.t26.t135 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) :rule cong :premises (t234.t26.t134 t234.t26.t48))
% 23.33/23.56 (step t234.t26.t136 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) :rule symm :premises (t234.t26.a0))
% 23.33/23.56 (step t234.t26.t137 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule trans :premises (t234.t26.a12 t234.t26.t42 t234.t26.t44 t234.t26.t129 t234.t26.t130 t234.t26.t131 t234.t26.t132 t234.t26.t135 t234.t26.t113 t234.t26.t136))
% 23.33/23.56 (step t234.t26 (cl (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (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.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule subproof :discharge (t234.t26.a0 t234.t26.a1 t234.t26.a2 t234.t26.a3 t234.t26.a4 t234.t26.a5 t234.t26.a6 t234.t26.a7 t234.t26.a8 t234.t26.a9 t234.t26.a10 t234.t26.a11 t234.t26.a12 t234.t26.a13 t234.t26.a14 t234.t26.a15 t234.t26.a16 t234.t26.a17 t234.t26.a18 t234.t26.a19 t234.t26.a20 t234.t26.a21 t234.t26.a22 t234.t26.a23 t234.t26.a24 t234.t26.a25 t234.t26.a26 t234.t26.a27 t234.t26.a28 t234.t26.a29))
% 23.33/23.56 (step t234.t27 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) :rule and_pos)
% 23.33/23.56 (step t234.t28 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule and_pos)
% 23.33/23.56 (step t234.t29 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 23.33/23.56 (step t234.t30 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule and_pos)
% 23.33/23.56 (step t234.t31 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule and_pos)
% 23.33/23.56 (step t234.t32 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule and_pos)
% 23.33/23.56 (step t234.t33 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.56 (step t234.t34 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule and_pos)
% 23.33/23.56 (step t234.t35 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule and_pos)
% 23.33/23.56 (step t234.t36 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule and_pos)
% 23.33/23.56 (step t234.t37 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule and_pos)
% 23.33/23.56 (step t234.t38 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.56 (step t234.t39 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 23.33/23.56 (step t234.t40 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule and_pos)
% 23.33/23.56 (step t234.t41 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.56 (step t234.t42 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 23.33/23.56 (step t234.t43 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule and_pos)
% 23.33/23.56 (step t234.t44 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 23.33/23.56 (step t234.t45 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 23.33/23.56 (step t234.t46 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) :rule and_pos)
% 23.33/23.56 (step t234.t47 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 23.33/23.56 (step t234.t48 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) :rule and_pos)
% 23.33/23.56 (step t234.t49 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) :rule and_pos)
% 23.33/23.56 (step t234.t50 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) :rule and_pos)
% 23.33/23.56 (step t234.t51 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) :rule and_pos)
% 23.33/23.56 (step t234.t52 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule and_pos)
% 23.33/23.56 (step t234.t53 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule and_pos)
% 23.33/23.56 (step t234.t54 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) :rule and_pos)
% 23.33/23.56 (step t234.t55 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 23.33/23.56 (step t234.t56 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) :rule and_pos)
% 23.33/23.56 (step t234.t57 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) :rule resolution :premises (t234.t26 t234.t27 t234.t28 t234.t29 t234.t30 t234.t31 t234.t32 t234.t33 t234.t34 t234.t35 t234.t36 t234.t37 t234.t38 t234.t39 t234.t40 t234.t41 t234.t42 t234.t43 t234.t44 t234.t45 t234.t46 t234.t47 t234.t48 t234.t49 t234.t50 t234.t51 t234.t52 t234.t53 t234.t54 t234.t55 t234.t56))
% 23.33/23.56 (step t234.t58 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule reordering :premises (t234.t57))
% 23.33/23.56 (step t234.t59 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule contraction :premises (t234.t58))
% 23.33/23.56 (step t234.t60 (cl (=> (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule resolution :premises (t234.t25 t234.t59))
% 23.33/23.56 (step t234.t61 (cl (=> (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))) :rule implies_neg2)
% 23.33/23.56 (step t234.t62 (cl (=> (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (=> (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t234.t60 t234.t61))
% 23.33/23.56 (step t234.t63 (cl (=> (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))) :rule contraction :premises (t234.t62))
% 23.33/23.56 (step t234.t64 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule implies :premises (t234.t63))
% 23.33/23.56 (step t234.t65 (cl (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (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.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule and_neg)
% 23.33/23.56 (step t234.t66 (cl (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule resolution :premises (t234.t65 t234.a24 t234.a7 t234.a0 t234.a1 t234.a15 t234.a11 t234.a8 t234.a12 t234.a16 t234.a14 t234.a22 t234.a5 t234.a9 t234.a2 t234.a19 t234.a3 t234.a20 t234.a17 t234.a18 t234.a29 t234.a6 t234.a21 t234.a27 t234.a28 t234.a25 t234.a26 t234.a23 t234.a13 t234.a4 t234.a10))
% 23.33/23.56 (step t234.t67 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule resolution :premises (t234.t64 t234.t66))
% 23.33/23.56 (step t234.t68 (cl (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule resolution :premises (t234.t1 t234.a30 t234.t24 t234.t67 t234.a9))
% 23.33/23.56 (step t234 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule subproof :discharge (t234.a0 t234.a1 t234.a2 t234.a3 t234.a4 t234.a5 t234.a6 t234.a7 t234.a8 t234.a9 t234.a10 t234.a11 t234.a12 t234.a13 t234.a14 t234.a15 t234.a16 t234.a17 t234.a18 t234.a19 t234.a20 t234.a21 t234.a22 t234.a23 t234.a24 t234.a25 t234.a26 t234.a27 t234.a28 t234.a29 t234.a30))
% 23.33/23.56 (step t235 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 23.33/23.56 (step t236 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule and_pos)
% 23.33/23.56 (step t237 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule and_pos)
% 23.33/23.56 (step t238 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 23.33/23.56 (step t239 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 23.33/23.56 (step t240 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.56 (step t241 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 23.33/23.56 (step t242 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule and_pos)
% 23.33/23.56 (step t243 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.56 (step t244 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 23.33/23.56 (step t245 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) :rule and_pos)
% 23.33/23.56 (step t246 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule and_pos)
% 23.33/23.56 (step t247 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule and_pos)
% 23.33/23.56 (step t248 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) :rule and_pos)
% 23.33/23.56 (step t249 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule and_pos)
% 23.33/23.56 (step t250 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule and_pos)
% 23.33/23.56 (step t251 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule and_pos)
% 23.33/23.56 (step t252 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 23.33/23.56 (step t253 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 23.33/23.56 (step t254 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.56 (step t255 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule and_pos)
% 23.33/23.56 (step t256 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) :rule and_pos)
% 23.33/23.56 (step t257 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule and_pos)
% 23.33/23.56 (step t258 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule and_pos)
% 23.33/23.56 (step t259 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) :rule and_pos)
% 23.33/23.57 (step t260 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) :rule and_pos)
% 23.33/23.57 (step t261 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule and_pos)
% 23.33/23.57 (step t262 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) :rule and_pos)
% 23.33/23.57 (step t263 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) :rule and_pos)
% 23.33/23.57 (step t264 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) :rule and_pos)
% 23.33/23.57 (step t265 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) :rule and_pos)
% 23.33/23.57 (step t266 (cl (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))))) :rule resolution :premises (t234 t235 t236 t237 t238 t239 t240 t241 t242 t243 t244 t245 t246 t247 t248 t249 t250 t251 t252 t253 t254 t255 t256 t257 t258 t259 t260 t261 t262 t263 t264 t265))
% 23.33/23.57 (step t267 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule reordering :premises (t266))
% 23.33/23.57 (step t268 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule contraction :premises (t267))
% 23.33/23.57 (step t269 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule resolution :premises (t233 t268))
% 23.33/23.57 (step t270 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule implies_neg2)
% 23.33/23.57 (step t271 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule resolution :premises (t269 t270))
% 23.33/23.57 (step t272 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) (and (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule contraction :premises (t271))
% 23.33/23.57 (step t273 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))))) :rule resolution :premises (t207 t232 t272))
% 23.33/23.57 (step t274 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) :rule not_and :premises (t273))
% 23.33/23.57 (step t275 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule or_neg)
% 23.33/23.57 (step t276 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule or_neg)
% 23.33/23.57 (step t277 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) :rule or_neg)
% 23.33/23.57 (step t278 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))))) :rule or_neg)
% 23.33/23.57 (step t279 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule or_neg)
% 23.33/23.57 (step t280 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule or_neg)
% 23.33/23.57 (step t281 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))))) :rule or_neg)
% 23.33/23.57 (step t282 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))))) :rule or_neg)
% 23.33/23.57 (step t283 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule or_neg)
% 23.33/23.57 (step t284 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule or_neg)
% 23.33/23.57 (step t285 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) :rule or_neg)
% 23.33/23.57 (step t286 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))) :rule or_neg)
% 23.33/23.57 (step t287 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))))) :rule or_neg)
% 23.33/23.57 (step t288 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))))) :rule or_neg)
% 23.33/23.57 (step t289 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) :rule or_neg)
% 23.33/23.57 (step t290 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))) :rule or_neg)
% 23.33/23.57 (step t291 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))))) :rule or_neg)
% 23.33/23.57 (step t292 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) :rule or_neg)
% 23.33/23.57 (step t293 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))))) :rule or_neg)
% 23.33/23.57 (step t294 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))))) :rule or_neg)
% 23.33/23.57 (step t295 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))))) :rule or_neg)
% 23.33/23.57 (step t296 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))))) :rule or_neg)
% 23.33/23.57 (step t297 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) :rule or_neg)
% 23.33/23.57 (step t298 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))))) :rule or_neg)
% 23.33/23.57 (step t299 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))))) :rule or_neg)
% 23.33/23.57 (step t300 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))))) :rule or_neg)
% 23.33/23.57 (step t301 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) :rule or_neg)
% 23.33/23.57 (step t302 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))))) :rule or_neg)
% 23.33/23.57 (step t303 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))))) :rule or_neg)
% 23.33/23.57 (step t304 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))))) :rule or_neg)
% 23.33/23.57 (step t305 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (not (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))))) :rule or_neg)
% 23.33/23.57 (step t306 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))))) :rule resolution :premises (t274 t275 t276 t277 t278 t279 t280 t281 t282 t283 t284 t285 t286 t287 t288 t289 t290 t291 t292 t293 t294 t295 t296 t297 t298 t299 t300 t301 t302 t303 t304 t305))
% 23.33/23.57 (step t307 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))))) :rule contraction :premises (t306))
% 23.33/23.57 (step t308 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t172 t206 t307))
% 23.33/23.57 (step t309 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) :rule or :premises (t308))
% 23.33/23.57 (step t310 (cl (=> (forall ((X $$unsorted) (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_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 23.33/23.57 (anchor :step t311)
% 23.33/23.57 (assume t311.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 23.33/23.57 (step t311.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) :rule forall_inst :args ((:= X tptp.sk_c7) (:= Y tptp.sk_c6) (:= Z (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))
% 23.33/23.57 (step t311.t2 (cl (not (forall ((X $$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_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) :rule or :premises (t311.t1))
% 23.33/23.57 (step t311.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) :rule resolution :premises (t311.t2 t311.a0))
% 23.33/23.57 (step t311 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) :rule subproof :discharge (t311.a0))
% 23.33/23.57 (step t312 (cl (=> (forall ((X $$unsorted) (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_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) :rule resolution :premises (t310 t311))
% 23.33/23.57 (step t313 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) :rule implies_neg2)
% 23.33/23.57 (step t314 (cl (=> (forall ((X $$unsorted) (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_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) :rule resolution :premises (t312 t313))
% 23.33/23.57 (step t315 (cl (=> (forall ((X $$unsorted) (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_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) :rule contraction :premises (t314))
% 23.33/23.57 (step t316 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) :rule implies :premises (t315))
% 23.33/23.57 (step t317 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) :rule resolution :premises (t316 a2))
% 23.33/23.57 (step t318 (cl (=> (forall ((X $$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.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 23.33/23.57 (anchor :step t319)
% 23.33/23.57 (assume t319.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 23.33/23.57 (step t319.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) :rule forall_inst :args ((:= X (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (:= Y (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (:= Z (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))
% 23.33/23.57 (step t319.t2 (cl (not (forall ((X $$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.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) :rule or :premises (t319.t1))
% 23.33/23.57 (step t319.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) :rule resolution :premises (t319.t2 t319.a0))
% 23.33/23.57 (step t319 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) :rule subproof :discharge (t319.a0))
% 23.33/23.57 (step t320 (cl (=> (forall ((X $$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.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) :rule resolution :premises (t318 t319))
% 23.33/23.57 (step t321 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) :rule implies_neg2)
% 23.33/23.57 (step t322 (cl (=> (forall ((X $$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.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) :rule resolution :premises (t320 t321))
% 23.33/23.57 (step t323 (cl (=> (forall ((X $$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.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) :rule contraction :premises (t322))
% 23.33/23.57 (step t324 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) :rule implies :premises (t323))
% 23.33/23.57 (step t325 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) :rule resolution :premises (t324 a2))
% 23.33/23.57 (step t326 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 23.33/23.57 (anchor :step t327)
% 23.33/23.57 (assume t327.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 23.33/23.57 (step t327.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))))) :rule forall_inst :args ((:= X (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))))
% 23.33/23.57 (step t327.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) :rule or :premises (t327.t1))
% 23.33/23.57 (step t327.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t327.t2 t327.a0))
% 23.33/23.57 (step t327 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) :rule subproof :discharge (t327.a0))
% 23.33/23.57 (step t328 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t326 t327))
% 23.33/23.57 (step t329 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))))) :rule implies_neg2)
% 23.33/23.57 (step t330 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))))) :rule resolution :premises (t328 t329))
% 23.33/23.57 (step t331 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))))) :rule contraction :premises (t330))
% 23.33/23.57 (step t332 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) :rule implies :premises (t331))
% 23.33/23.57 (step t333 (cl (not (= (forall ((X $$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 $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule equiv_pos2)
% 23.33/23.57 (anchor :step t334 :args ((X $$unsorted) (:= X X)))
% 23.33/23.57 (step t334.t1 (cl (= X X)) :rule refl)
% 23.33/23.57 (step t334.t2 (cl (= (= (tptp.multiply (tptp.inverse X) X) tptp.identity) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule all_simplify)
% 23.33/23.57 (step t334 (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)
% 23.33/23.57 (step t335 (cl (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule resolution :premises (t333 t334 a1))
% 23.33/23.57 (step t336 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t332 t335))
% 23.33/23.57 (step t337 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 23.33/23.57 (anchor :step t338)
% 23.33/23.57 (assume t338.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 23.33/23.57 (step t338.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) :rule forall_inst :args ((:= X (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4))) (:= Y (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (:= Z (tptp.inverse tptp.sk_c4))))
% 23.33/23.57 (step t338.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule or :premises (t338.t1))
% 23.33/23.57 (step t338.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t338.t2 t338.a0))
% 23.33/23.57 (step t338 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule subproof :discharge (t338.a0))
% 23.33/23.57 (step t339 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t337 t338))
% 23.33/23.57 (step t340 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) :rule implies_neg2)
% 23.33/23.57 (step t341 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) :rule resolution :premises (t339 t340))
% 23.33/23.57 (step t342 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) :rule contraction :premises (t341))
% 23.33/23.57 (step t343 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule implies :premises (t342))
% 23.33/23.57 (step t344 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t343 a2))
% 23.33/23.57 (step t345 (cl (=> (forall ((X $$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_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 23.33/23.57 (anchor :step t346)
% 23.33/23.57 (assume t346.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 23.33/23.57 (step t346.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c4)) (:= Y (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (:= Z (tptp.inverse tptp.sk_c4))))
% 23.33/23.57 (step t346.t2 (cl (not (forall ((X $$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_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) :rule or :premises (t346.t1))
% 23.33/23.57 (step t346.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t346.t2 t346.a0))
% 23.33/23.57 (step t346 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) :rule subproof :discharge (t346.a0))
% 23.33/23.57 (step t347 (cl (=> (forall ((X $$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_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t345 t346))
% 23.33/23.57 (step t348 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))))) :rule implies_neg2)
% 23.33/23.57 (step t349 (cl (=> (forall ((X $$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_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))))) :rule resolution :premises (t347 t348))
% 23.33/23.57 (step t350 (cl (=> (forall ((X $$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_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))))) :rule contraction :premises (t349))
% 23.33/23.57 (step t351 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) :rule implies :premises (t350))
% 23.33/23.57 (step t352 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t351 a2))
% 23.33/23.57 (step t353 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 23.33/23.57 (anchor :step t354)
% 23.33/23.57 (assume t354.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 23.33/23.57 (step t354.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c4))))
% 23.33/23.57 (step t354.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) :rule or :premises (t354.t1))
% 23.33/23.57 (step t354.t3 (cl (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t354.t2 t354.a0))
% 23.33/23.57 (step t354 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) :rule subproof :discharge (t354.a0))
% 23.33/23.57 (step t355 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t353 t354))
% 23.33/23.57 (step t356 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))))) :rule implies_neg2)
% 23.33/23.57 (step t357 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t355 t356))
% 23.33/23.57 (step t358 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))))) :rule contraction :premises (t357))
% 23.33/23.57 (step t359 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) :rule implies :premises (t358))
% 23.33/23.57 (step t360 (cl (not (= (forall ((X $$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 $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule equiv_pos2)
% 23.33/23.57 (anchor :step t361 :args ((X $$unsorted) (:= X X)))
% 23.33/23.57 (step t361.t1 (cl (= X X)) :rule refl)
% 23.33/23.57 (step t361.t2 (cl (= (= (tptp.multiply tptp.identity X) X) (= X (tptp.multiply tptp.identity X)))) :rule all_simplify)
% 23.33/23.57 (step t361 (cl (= (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) :rule bind)
% 23.33/23.57 (step t362 (cl (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule resolution :premises (t360 t361 a0))
% 23.33/23.57 (step t363 (cl (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t359 t362))
% 23.33/23.57 (step t364 (cl (=> (forall ((X $$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.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 23.33/23.57 (anchor :step t365)
% 23.33/23.57 (assume t365.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 23.33/23.57 (step t365.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c4)) (:= Y (tptp.inverse tptp.sk_c4)) (:= Z (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.57 (step t365.t2 (cl (not (forall ((X $$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.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule or :premises (t365.t1))
% 23.33/23.57 (step t365.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule resolution :premises (t365.t2 t365.a0))
% 23.33/23.57 (step t365 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule subproof :discharge (t365.a0))
% 23.33/23.57 (step t366 (cl (=> (forall ((X $$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.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule resolution :premises (t364 t365))
% 23.33/23.57 (step t367 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))) :rule implies_neg2)
% 23.33/23.57 (step t368 (cl (=> (forall ((X $$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.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))) :rule resolution :premises (t366 t367))
% 23.33/23.57 (step t369 (cl (=> (forall ((X $$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.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))) :rule contraction :premises (t368))
% 23.33/23.57 (step t370 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule implies :premises (t369))
% 23.33/23.57 (step t371 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule resolution :premises (t370 a2))
% 23.33/23.57 (step t372 (cl (=> (forall ((X $$unsorted) (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.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 23.33/23.57 (anchor :step t373)
% 23.33/23.57 (assume t373.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 23.33/23.57 (step t373.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) :rule forall_inst :args ((:= X tptp.sk_c7) (:= Y (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (:= Z (tptp.inverse tptp.sk_c4))))
% 23.33/23.57 (step t373.t2 (cl (not (forall ((X $$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.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule or :premises (t373.t1))
% 23.33/23.57 (step t373.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t373.t2 t373.a0))
% 23.33/23.57 (step t373 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule subproof :discharge (t373.a0))
% 23.33/23.57 (step t374 (cl (=> (forall ((X $$unsorted) (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.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t372 t373))
% 23.33/23.57 (step t375 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) :rule implies_neg2)
% 23.33/23.57 (step t376 (cl (=> (forall ((X $$unsorted) (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.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) :rule resolution :premises (t374 t375))
% 23.33/23.57 (step t377 (cl (=> (forall ((X $$unsorted) (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.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) :rule contraction :premises (t376))
% 23.33/23.57 (step t378 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule implies :premises (t377))
% 23.33/23.57 (step t379 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t378 a2))
% 23.33/23.57 (step t380 (cl (=> (forall ((X $$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.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 23.33/23.57 (anchor :step t381)
% 23.33/23.57 (assume t381.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 23.33/23.57 (step t381.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) :rule forall_inst :args ((:= X (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (:= Y (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (:= Z tptp.sk_c6)))
% 23.33/23.57 (step t381.t2 (cl (not (forall ((X $$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.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) :rule or :premises (t381.t1))
% 23.33/23.57 (step t381.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) :rule resolution :premises (t381.t2 t381.a0))
% 23.33/23.57 (step t381 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) :rule subproof :discharge (t381.a0))
% 23.33/23.57 (step t382 (cl (=> (forall ((X $$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.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) :rule resolution :premises (t380 t381))
% 23.33/23.57 (step t383 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) :rule implies_neg2)
% 23.33/23.57 (step t384 (cl (=> (forall ((X $$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.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) :rule resolution :premises (t382 t383))
% 23.33/23.57 (step t385 (cl (=> (forall ((X $$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.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) :rule contraction :premises (t384))
% 23.33/23.57 (step t386 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) :rule implies :premises (t385))
% 23.33/23.57 (step t387 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) :rule resolution :premises (t386 a2))
% 23.33/23.57 (step t388 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 23.33/23.57 (anchor :step t389)
% 23.33/23.57 (assume t389.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 23.33/23.57 (step t389.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c3)) (:= Y tptp.sk_c3) (:= Z tptp.sk_c4)))
% 23.33/23.57 (step t389.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule or :premises (t389.t1))
% 23.33/23.57 (step t389.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule resolution :premises (t389.t2 t389.a0))
% 23.33/23.57 (step t389 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule subproof :discharge (t389.a0))
% 23.33/23.57 (step t390 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule resolution :premises (t388 t389))
% 23.33/23.57 (step t391 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) :rule implies_neg2)
% 23.33/23.57 (step t392 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) :rule resolution :premises (t390 t391))
% 23.33/23.57 (step t393 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) :rule contraction :premises (t392))
% 23.33/23.57 (step t394 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule implies :premises (t393))
% 23.33/23.57 (step t395 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule resolution :premises (t394 a2))
% 23.33/23.57 (step t396 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 23.33/23.57 (anchor :step t397)
% 23.33/23.57 (assume t397.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 23.33/23.57 (step t397.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))))) :rule forall_inst :args ((:= X tptp.sk_c3) (:= Y tptp.sk_c4) (:= Z tptp.sk_c6)))
% 23.33/23.57 (step t397.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule or :premises (t397.t1))
% 23.33/23.57 (step t397.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule resolution :premises (t397.t2 t397.a0))
% 23.33/23.57 (step t397 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule subproof :discharge (t397.a0))
% 23.33/23.57 (step t398 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule resolution :premises (t396 t397))
% 23.33/23.57 (step t399 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))))) :rule implies_neg2)
% 23.33/23.57 (step t400 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))))) :rule resolution :premises (t398 t399))
% 23.33/23.57 (step t401 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))))) :rule contraction :premises (t400))
% 23.33/23.57 (step t402 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule implies :premises (t401))
% 23.33/23.57 (step t403 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule resolution :premises (t402 a2))
% 23.33/23.57 (step t404 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 23.33/23.57 (anchor :step t405)
% 23.33/23.57 (assume t405.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 23.33/23.57 (step t405.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule forall_inst :args ((:= X tptp.sk_c4)))
% 23.33/23.57 (step t405.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule or :premises (t405.t1))
% 23.33/23.57 (step t405.t3 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule resolution :premises (t405.t2 t405.a0))
% 23.33/23.57 (step t405 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule subproof :discharge (t405.a0))
% 23.33/23.57 (step t406 (cl (=> (forall ((X $$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 (t404 t405))
% 23.33/23.57 (step t407 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule implies_neg2)
% 23.33/23.57 (step t408 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule resolution :premises (t406 t407))
% 23.33/23.57 (step t409 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule contraction :premises (t408))
% 23.33/23.57 (step t410 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule implies :premises (t409))
% 23.33/23.57 (step t411 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule resolution :premises (t410 t362))
% 23.33/23.57 (step t412 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 23.33/23.57 (anchor :step t413)
% 23.33/23.57 (assume t413.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 23.33/23.57 (step t413.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule forall_inst :args ((:= X tptp.sk_c3)))
% 23.33/23.57 (step t413.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule or :premises (t413.t1))
% 23.33/23.57 (step t413.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule resolution :premises (t413.t2 t413.a0))
% 23.33/23.57 (step t413 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule subproof :discharge (t413.a0))
% 23.33/23.57 (step t414 (cl (=> (forall ((X $$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 (t412 t413))
% 23.33/23.57 (step t415 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule implies_neg2)
% 23.33/23.57 (step t416 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule resolution :premises (t414 t415))
% 23.33/23.57 (step t417 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule contraction :premises (t416))
% 23.33/23.57 (step t418 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule implies :premises (t417))
% 23.33/23.57 (step t419 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule resolution :premises (t418 t335))
% 23.33/23.57 (step t420 (cl (=> (forall ((X $$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.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 23.33/23.57 (anchor :step t421)
% 23.33/23.57 (assume t421.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 23.33/23.57 (step t421.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) :rule forall_inst :args ((:= X (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (:= Y (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (:= Z (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))
% 23.33/23.57 (step t421.t2 (cl (not (forall ((X $$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.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule or :premises (t421.t1))
% 23.33/23.57 (step t421.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule resolution :premises (t421.t2 t421.a0))
% 23.33/23.57 (step t421 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule subproof :discharge (t421.a0))
% 23.33/23.57 (step t422 (cl (=> (forall ((X $$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.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule resolution :premises (t420 t421))
% 23.33/23.57 (step t423 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) :rule implies_neg2)
% 23.33/23.57 (step t424 (cl (=> (forall ((X $$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.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) :rule resolution :premises (t422 t423))
% 23.33/23.57 (step t425 (cl (=> (forall ((X $$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.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) :rule contraction :premises (t424))
% 23.33/23.57 (step t426 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule implies :premises (t425))
% 23.33/23.57 (step t427 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule resolution :premises (t426 a2))
% 23.33/23.57 (step t428 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 23.33/23.57 (anchor :step t429)
% 23.33/23.57 (assume t429.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 23.33/23.57 (step t429.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule forall_inst :args ((:= X (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.57 (step t429.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule or :premises (t429.t1))
% 23.33/23.57 (step t429.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule resolution :premises (t429.t2 t429.a0))
% 23.33/23.57 (step t429 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule subproof :discharge (t429.a0))
% 23.33/23.57 (step t430 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule resolution :premises (t428 t429))
% 23.33/23.57 (step t431 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule implies_neg2)
% 23.33/23.57 (step t432 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule resolution :premises (t430 t431))
% 23.33/23.57 (step t433 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule contraction :premises (t432))
% 23.33/23.57 (step t434 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule implies :premises (t433))
% 23.33/23.57 (step t435 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule resolution :premises (t434 t335))
% 23.33/23.57 (step t436 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 23.33/23.57 (anchor :step t437)
% 23.33/23.57 (assume t437.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 23.33/23.57 (step t437.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule forall_inst :args ((:= X (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))
% 23.33/23.57 (step t437.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule or :premises (t437.t1))
% 23.33/23.57 (step t437.t3 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule resolution :premises (t437.t2 t437.a0))
% 23.33/23.57 (step t437 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule subproof :discharge (t437.a0))
% 23.33/23.57 (step t438 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule resolution :premises (t436 t437))
% 23.33/23.57 (step t439 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule implies_neg2)
% 23.33/23.57 (step t440 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule resolution :premises (t438 t439))
% 23.33/23.57 (step t441 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule contraction :premises (t440))
% 23.33/23.57 (step t442 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule implies :premises (t441))
% 23.33/23.57 (step t443 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule resolution :premises (t442 t362))
% 23.33/23.57 (step t444 (cl (=> (forall ((X $$unsorted) (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_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 23.33/23.57 (anchor :step t445)
% 23.33/23.57 (assume t445.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 23.33/23.57 (step t445.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))))) :rule forall_inst :args ((:= X tptp.sk_c4) (:= Y tptp.sk_c5) (:= Z (tptp.inverse tptp.sk_c7))))
% 23.33/23.57 (step t445.t2 (cl (not (forall ((X $$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_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) :rule or :premises (t445.t1))
% 23.33/23.57 (step t445.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) :rule resolution :premises (t445.t2 t445.a0))
% 23.33/23.57 (step t445 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) :rule subproof :discharge (t445.a0))
% 23.33/23.57 (step t446 (cl (=> (forall ((X $$unsorted) (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_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) :rule resolution :premises (t444 t445))
% 23.33/23.57 (step t447 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))))) :rule implies_neg2)
% 23.33/23.57 (step t448 (cl (=> (forall ((X $$unsorted) (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_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))))) :rule resolution :premises (t446 t447))
% 23.33/23.57 (step t449 (cl (=> (forall ((X $$unsorted) (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_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))))) :rule contraction :premises (t448))
% 23.33/23.57 (step t450 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) :rule implies :premises (t449))
% 23.33/23.57 (step t451 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) :rule resolution :premises (t450 a2))
% 23.33/23.57 (step t452 (cl (=> (forall ((X $$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.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 23.33/23.57 (anchor :step t453)
% 23.33/23.57 (assume t453.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 23.33/23.57 (step t453.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))) :rule forall_inst :args ((:= X (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (:= Y (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (:= Z (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.57 (step t453.t2 (cl (not (forall ((X $$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.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule or :premises (t453.t1))
% 23.33/23.57 (step t453.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule resolution :premises (t453.t2 t453.a0))
% 23.33/23.57 (step t453 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule subproof :discharge (t453.a0))
% 23.33/23.57 (step t454 (cl (=> (forall ((X $$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.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule resolution :premises (t452 t453))
% 23.33/23.57 (step t455 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))) :rule implies_neg2)
% 23.33/23.57 (step t456 (cl (=> (forall ((X $$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.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))) :rule resolution :premises (t454 t455))
% 23.33/23.57 (step t457 (cl (=> (forall ((X $$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.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))) :rule contraction :premises (t456))
% 23.33/23.57 (step t458 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule implies :premises (t457))
% 23.33/23.57 (step t459 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule resolution :premises (t458 a2))
% 23.33/23.57 (step t460 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 23.33/23.57 (anchor :step t461)
% 23.33/23.57 (assume t461.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 23.33/23.57 (step t461.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule forall_inst :args ((:= X (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.57 (step t461.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule or :premises (t461.t1))
% 23.33/23.57 (step t461.t3 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule resolution :premises (t461.t2 t461.a0))
% 23.33/23.57 (step t461 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule subproof :discharge (t461.a0))
% 23.33/23.57 (step t462 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule resolution :premises (t460 t461))
% 23.33/23.57 (step t463 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule implies_neg2)
% 23.33/23.57 (step t464 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule resolution :premises (t462 t463))
% 23.33/23.57 (step t465 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule contraction :premises (t464))
% 23.33/23.57 (step t466 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule implies :premises (t465))
% 23.33/23.57 (step t467 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule resolution :premises (t466 t362))
% 23.33/23.57 (step t468 (cl (=> (forall ((X $$unsorted) (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.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 23.33/23.57 (anchor :step t469)
% 23.33/23.57 (assume t469.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 23.33/23.57 (step t469.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule forall_inst :args ((:= X tptp.sk_c7) (:= Y (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (:= Z tptp.sk_c7)))
% 23.33/23.57 (step t469.t2 (cl (not (forall ((X $$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.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) :rule or :premises (t469.t1))
% 23.33/23.57 (step t469.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) :rule resolution :premises (t469.t2 t469.a0))
% 23.33/23.57 (step t469 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) :rule subproof :discharge (t469.a0))
% 23.33/23.57 (step t470 (cl (=> (forall ((X $$unsorted) (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.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) :rule resolution :premises (t468 t469))
% 23.33/23.57 (step t471 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule implies_neg2)
% 23.33/23.57 (step t472 (cl (=> (forall ((X $$unsorted) (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.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule resolution :premises (t470 t471))
% 23.33/23.57 (step t473 (cl (=> (forall ((X $$unsorted) (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.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule contraction :premises (t472))
% 23.33/23.57 (step t474 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) :rule implies :premises (t473))
% 23.33/23.57 (step t475 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) :rule resolution :premises (t474 a2))
% 23.33/23.57 (step t476 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 23.33/23.57 (anchor :step t477)
% 23.33/23.57 (assume t477.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 23.33/23.57 (step t477.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule forall_inst :args ((:= X tptp.sk_c7)))
% 23.33/23.57 (step t477.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule or :premises (t477.t1))
% 23.33/23.57 (step t477.t3 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule resolution :premises (t477.t2 t477.a0))
% 23.33/23.57 (step t477 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule subproof :discharge (t477.a0))
% 23.33/23.57 (step t478 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule resolution :premises (t476 t477))
% 23.33/23.57 (step t479 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule implies_neg2)
% 23.33/23.57 (step t480 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule resolution :premises (t478 t479))
% 23.33/23.57 (step t481 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule contraction :premises (t480))
% 23.33/23.57 (step t482 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule implies :premises (t481))
% 23.33/23.57 (step t483 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule resolution :premises (t482 t362))
% 23.33/23.57 (step t484 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 23.33/23.57 (anchor :step t485)
% 23.33/23.57 (assume t485.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 23.33/23.57 (step t485.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule forall_inst :args ((:= X (tptp.multiply tptp.sk_c5 tptp.sk_c6))))
% 23.33/23.57 (step t485.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule or :premises (t485.t1))
% 23.33/23.57 (step t485.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule resolution :premises (t485.t2 t485.a0))
% 23.33/23.57 (step t485 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule subproof :discharge (t485.a0))
% 23.33/23.57 (step t486 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule resolution :premises (t484 t485))
% 23.33/23.57 (step t487 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule implies_neg2)
% 23.33/23.57 (step t488 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule resolution :premises (t486 t487))
% 23.33/23.57 (step t489 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule contraction :premises (t488))
% 23.33/23.57 (step t490 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule implies :premises (t489))
% 23.33/23.57 (step t491 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule resolution :premises (t490 t335))
% 23.33/23.57 (step t492 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 23.33/23.57 (anchor :step t493)
% 23.33/23.57 (assume t493.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 23.33/23.57 (step t493.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) :rule forall_inst :args ((:= X (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))
% 23.33/23.57 (step t493.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule or :premises (t493.t1))
% 23.33/23.57 (step t493.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule resolution :premises (t493.t2 t493.a0))
% 23.33/23.57 (step t493 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule subproof :discharge (t493.a0))
% 23.33/23.57 (step t494 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule resolution :premises (t492 t493))
% 23.33/23.57 (step t495 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) :rule implies_neg2)
% 23.33/23.57 (step t496 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) :rule resolution :premises (t494 t495))
% 23.33/23.57 (step t497 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) :rule contraction :premises (t496))
% 23.33/23.57 (step t498 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule implies :premises (t497))
% 23.33/23.57 (step t499 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule resolution :premises (t498 t335))
% 23.33/23.57 (step t500 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 23.33/23.57 (anchor :step t501)
% 23.33/23.57 (assume t501.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 23.33/23.57 (step t501.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule forall_inst :args ((:= X tptp.sk_c6)))
% 23.33/23.57 (step t501.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule or :premises (t501.t1))
% 23.33/23.57 (step t501.t3 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t501.t2 t501.a0))
% 23.33/23.57 (step t501 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule subproof :discharge (t501.a0))
% 23.33/23.57 (step t502 (cl (=> (forall ((X $$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 (t500 t501))
% 23.33/23.57 (step t503 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies_neg2)
% 23.33/23.57 (step t504 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t502 t503))
% 23.33/23.57 (step t505 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule contraction :premises (t504))
% 23.33/23.57 (step t506 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule implies :premises (t505))
% 23.33/23.57 (step t507 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t506 t362))
% 23.33/23.57 (step t508 (cl (=> (forall ((X $$unsorted) (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_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 23.33/23.57 (anchor :step t509)
% 23.33/23.57 (assume t509.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 23.33/23.57 (step t509.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule forall_inst :args ((:= X tptp.sk_c7) (:= Y tptp.sk_c6) (:= Z tptp.sk_c6)))
% 23.33/23.57 (step t509.t2 (cl (not (forall ((X $$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_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule or :premises (t509.t1))
% 23.33/23.57 (step t509.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule resolution :premises (t509.t2 t509.a0))
% 23.33/23.57 (step t509 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule subproof :discharge (t509.a0))
% 23.33/23.57 (step t510 (cl (=> (forall ((X $$unsorted) (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_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule resolution :premises (t508 t509))
% 23.33/23.57 (step t511 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule implies_neg2)
% 23.33/23.57 (step t512 (cl (=> (forall ((X $$unsorted) (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_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule resolution :premises (t510 t511))
% 23.33/23.57 (step t513 (cl (=> (forall ((X $$unsorted) (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_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule contraction :premises (t512))
% 23.33/23.57 (step t514 (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_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule implies :premises (t513))
% 23.33/23.57 (step t515 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule resolution :premises (t514 a2))
% 23.33/23.57 (step t516 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) :rule and_neg)
% 23.33/23.57 (step t517 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) :rule implies_neg1)
% 23.33/23.57 (anchor :step t518)
% 23.33/23.57 (assume t518.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 23.33/23.57 (assume t518.a1 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))
% 23.33/23.57 (assume t518.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))
% 23.33/23.57 (assume t518.a3 (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))
% 23.33/23.57 (assume t518.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 23.33/23.57 (assume t518.a5 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 23.33/23.57 (assume t518.a6 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 23.33/23.57 (assume t518.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 23.33/23.57 (assume t518.a8 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 23.33/23.57 (assume t518.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))))
% 23.33/23.57 (assume t518.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))
% 23.33/23.57 (step t518.t1 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule implies_neg1)
% 23.33/23.57 (anchor :step t518.t2)
% 23.33/23.57 (assume t518.t2.a0 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))
% 23.33/23.57 (assume t518.t2.a1 (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 23.33/23.57 (assume t518.t2.a2 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 23.33/23.57 (assume t518.t2.a3 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 23.33/23.57 (assume t518.t2.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))
% 23.33/23.57 (assume t518.t2.a5 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))))
% 23.33/23.57 (assume t518.t2.a6 (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))
% 23.33/23.57 (assume t518.t2.a7 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))
% 23.33/23.57 (assume t518.t2.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 23.33/23.57 (assume t518.t2.a9 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 23.33/23.57 (assume t518.t2.a10 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 23.33/23.57 (step t518.t2.t1 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t518.t2.a10))
% 23.33/23.57 (step t518.t2.t2 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule symm :premises (t518.t2.t1))
% 23.33/23.57 (step t518.t2.t3 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 23.33/23.57 (step t518.t2.t4 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 23.33/23.57 (step t518.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t518.t2.a9))
% 23.33/23.57 (step t518.t2.t6 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule symm :premises (t518.t2.t5))
% 23.33/23.57 (step t518.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t518.t2.a8))
% 23.33/23.57 (step t518.t2.t8 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t518.t2.t7))
% 23.33/23.57 (step t518.t2.t9 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4))) :rule cong :premises (t518.t2.t8 t518.t2.t3))
% 23.33/23.57 (step t518.t2.t10 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4))) :rule symm :premises (t518.t2.a7))
% 23.33/23.57 (step t518.t2.t11 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule symm :premises (t518.t2.t10))
% 23.33/23.57 (step t518.t2.t12 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c4)) :rule symm :premises (t518.t2.a6))
% 23.33/23.57 (step t518.t2.t13 (cl (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t518.t2.t12))
% 23.33/23.57 (step t518.t2.t14 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c4)) :rule symm :premises (t518.t2.t13))
% 23.33/23.57 (step t518.t2.t15 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t518.t2.a4))
% 23.33/23.57 (step t518.t2.t16 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (tptp.multiply tptp.sk_c4 tptp.sk_c6))) :rule cong :premises (t518.t2.t14 t518.t2.t15))
% 23.33/23.57 (step t518.t2.t17 (cl (= tptp.sk_c4 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) :rule trans :premises (t518.t2.t6 t518.t2.t9 t518.t2.t11 t518.t2.t16))
% 23.33/23.57 (step t518.t2.t18 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule cong :premises (t518.t2.t4 t518.t2.t17))
% 23.33/23.57 (step t518.t2.t19 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6))) :rule symm :premises (t518.t2.a5))
% 23.33/23.57 (step t518.t2.t20 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule symm :premises (t518.t2.t19))
% 23.33/23.57 (step t518.t2.t21 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6))) :rule symm :premises (t518.t2.t20))
% 23.33/23.57 (step t518.t2.t22 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 23.33/23.57 (step t518.t2.t23 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule cong :premises (t518.t2.t15 t518.t2.t22))
% 23.33/23.57 (step t518.t2.t24 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule trans :premises (t518.t2.a4 t518.t2.t18 t518.t2.t21 t518.t2.t23))
% 23.33/23.57 (step t518.t2.t25 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule cong :premises (t518.t2.a3 t518.t2.t24))
% 23.33/23.57 (step t518.t2.t26 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t518.t2.a3))
% 23.33/23.57 (step t518.t2.t27 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule refl)
% 23.33/23.57 (step t518.t2.t28 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule cong :premises (t518.t2.t26 t518.t2.t27))
% 23.33/23.57 (step t518.t2.t29 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t518.t2.a2))
% 23.33/23.57 (step t518.t2.t30 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule symm :premises (t518.t2.t29))
% 23.33/23.57 (step t518.t2.t31 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t518.t2.t30))
% 23.33/23.57 (step t518.t2.t32 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5)) :rule symm :premises (t518.t2.a1))
% 23.33/23.57 (step t518.t2.t33 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule cong :premises (t518.t2.t32 t518.t2.t22))
% 23.33/23.57 (step t518.t2.t34 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t518.t2.a0))
% 23.33/23.57 (step t518.t2.t35 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule symm :premises (t518.t2.t34))
% 23.33/23.57 (step t518.t2.t36 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t518.t2.t35))
% 23.33/23.57 (step t518.t2.t37 (cl (= tptp.sk_c5 tptp.sk_c7)) :rule trans :premises (t518.t2.a1 t518.t2.t25 t518.t2.t28 t518.t2.t31 t518.t2.t33 t518.t2.t36))
% 23.33/23.57 (step t518.t2.t38 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule cong :premises (t518.t2.t3 t518.t2.t37))
% 23.33/23.57 (step t518.t2.t39 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule trans :premises (t518.t2.t2 t518.t2.t38))
% 23.33/23.57 (step t518.t2 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (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.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule subproof :discharge (t518.t2.a0 t518.t2.a1 t518.t2.a2 t518.t2.a3 t518.t2.a4 t518.t2.a5 t518.t2.a6 t518.t2.a7 t518.t2.a8 t518.t2.a9 t518.t2.a10))
% 23.33/23.57 (step t518.t3 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule and_pos)
% 23.33/23.57 (step t518.t4 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 23.33/23.57 (step t518.t5 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.57 (step t518.t6 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 23.33/23.57 (step t518.t7 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule and_pos)
% 23.33/23.57 (step t518.t8 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.57 (step t518.t9 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 23.33/23.57 (step t518.t10 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule and_pos)
% 23.33/23.57 (step t518.t11 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 23.33/23.57 (step t518.t12 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 23.33/23.57 (step t518.t13 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 23.33/23.57 (step t518.t14 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule resolution :premises (t518.t2 t518.t3 t518.t4 t518.t5 t518.t6 t518.t7 t518.t8 t518.t9 t518.t10 t518.t11 t518.t12 t518.t13))
% 23.33/23.57 (step t518.t15 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule reordering :premises (t518.t14))
% 23.33/23.57 (step t518.t16 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule contraction :premises (t518.t15))
% 23.33/23.57 (step t518.t17 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule resolution :premises (t518.t1 t518.t16))
% 23.33/23.57 (step t518.t18 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule implies_neg2)
% 23.33/23.57 (step t518.t19 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule resolution :premises (t518.t17 t518.t18))
% 23.33/23.57 (step t518.t20 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule contraction :premises (t518.t19))
% 23.33/23.57 (step t518.t21 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule implies :premises (t518.t20))
% 23.33/23.57 (step t518.t22 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (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.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule and_neg)
% 23.33/23.57 (step t518.t23 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule resolution :premises (t518.t22 t518.a1 t518.a0 t518.a5 t518.a6 t518.a2 t518.a9 t518.a3 t518.a10 t518.a7 t518.a8 t518.a4))
% 23.33/23.57 (step t518.t24 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule resolution :premises (t518.t21 t518.t23))
% 23.33/23.57 (step t518 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule subproof :discharge (t518.a0 t518.a1 t518.a2 t518.a3 t518.a4 t518.a5 t518.a6 t518.a7 t518.a8 t518.a9 t518.a10))
% 23.33/23.57 (step t519 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 23.33/23.57 (step t520 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule and_pos)
% 23.33/23.57 (step t521 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule and_pos)
% 23.33/23.57 (step t522 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 23.33/23.57 (step t523 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 23.33/23.57 (step t524 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.57 (step t525 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 23.33/23.57 (step t526 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 23.33/23.57 (step t527 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 23.33/23.57 (step t528 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.57 (step t529 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule and_pos)
% 23.33/23.57 (step t530 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))))) :rule resolution :premises (t518 t519 t520 t521 t522 t523 t524 t525 t526 t527 t528 t529))
% 23.33/23.57 (step t531 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule reordering :premises (t530))
% 23.33/23.57 (step t532 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule contraction :premises (t531))
% 23.33/23.57 (step t533 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule resolution :premises (t517 t532))
% 23.33/23.57 (step t534 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule implies_neg2)
% 23.33/23.57 (step t535 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule resolution :premises (t533 t534))
% 23.33/23.57 (step t536 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule contraction :premises (t535))
% 23.33/23.57 (step t537 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule implies :premises (t536))
% 23.33/23.57 (step t538 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) :rule resolution :premises (t516 t537))
% 23.33/23.57 (step t539 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) :rule reordering :premises (t538))
% 23.33/23.57 (step t540 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) :rule and_neg)
% 23.33/23.57 (step t541 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) :rule implies_neg1)
% 23.33/23.57 (anchor :step t542)
% 23.33/23.57 (assume t542.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 23.33/23.57 (assume t542.a1 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))
% 23.33/23.57 (assume t542.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))
% 23.33/23.57 (assume t542.a3 (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))
% 23.33/23.57 (assume t542.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 23.33/23.57 (assume t542.a5 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 23.33/23.57 (assume t542.a6 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 23.33/23.57 (assume t542.a7 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))
% 23.33/23.57 (assume t542.a8 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))))
% 23.33/23.57 (assume t542.a9 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 23.33/23.57 (assume t542.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))
% 23.33/23.57 (assume t542.a11 (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.57 (assume t542.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))
% 23.33/23.57 (assume t542.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))))
% 23.33/23.57 (assume t542.a14 (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))
% 23.33/23.57 (assume t542.a15 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.57 (assume t542.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))
% 23.33/23.57 (assume t542.a17 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 23.33/23.57 (assume t542.a18 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 23.33/23.57 (assume t542.a19 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))))
% 23.33/23.57 (assume t542.a20 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))
% 23.33/23.57 (assume t542.a21 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))
% 23.33/23.57 (assume t542.a22 (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))
% 23.33/23.57 (assume t542.a23 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))
% 23.33/23.57 (assume t542.a24 (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))))
% 23.33/23.57 (assume t542.a25 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))))
% 23.33/23.57 (assume t542.a26 (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))
% 23.33/23.57 (assume t542.a27 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))))
% 23.33/23.57 (assume t542.a28 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))
% 23.33/23.57 (assume t542.a29 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))
% 23.33/23.57 (step t542.t1 (cl (=> (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule implies_neg1)
% 23.33/23.58 (anchor :step t542.t2)
% 23.33/23.58 (assume t542.t2.a0 (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))))
% 23.33/23.58 (assume t542.t2.a1 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))
% 23.33/23.58 (assume t542.t2.a2 (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 23.33/23.58 (assume t542.t2.a3 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))
% 23.33/23.58 (assume t542.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.58 (assume t542.t2.a5 (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.58 (assume t542.t2.a6 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))))
% 23.33/23.58 (assume t542.t2.a7 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))
% 23.33/23.58 (assume t542.t2.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))
% 23.33/23.58 (assume t542.t2.a9 (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))
% 23.33/23.58 (assume t542.t2.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))
% 23.33/23.58 (assume t542.t2.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 23.33/23.58 (assume t542.t2.a12 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 23.33/23.58 (assume t542.t2.a13 (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))
% 23.33/23.58 (assume t542.t2.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))))
% 23.33/23.58 (assume t542.t2.a15 (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))
% 23.33/23.58 (assume t542.t2.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))
% 23.33/23.58 (assume t542.t2.a17 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 23.33/23.58 (assume t542.t2.a18 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 23.33/23.58 (assume t542.t2.a19 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))
% 23.33/23.58 (assume t542.t2.a20 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 23.33/23.58 (assume t542.t2.a21 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))
% 23.33/23.58 (assume t542.t2.a22 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))))
% 23.33/23.58 (assume t542.t2.a23 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))
% 23.33/23.58 (assume t542.t2.a24 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))))
% 23.33/23.58 (assume t542.t2.a25 (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))
% 23.33/23.58 (assume t542.t2.a26 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))
% 23.33/23.58 (assume t542.t2.a27 (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))))
% 23.33/23.58 (assume t542.t2.a28 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 23.33/23.58 (assume t542.t2.a29 (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))
% 23.33/23.58 (step t542.t2.t1 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule symm :premises (t542.t2.a9))
% 23.33/23.58 (step t542.t2.t2 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule symm :premises (t542.t2.t1))
% 23.33/23.58 (step t542.t2.t3 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule refl)
% 23.33/23.58 (step t542.t2.t4 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule cong :premises (t542.t2.a4 t542.t2.t3))
% 23.33/23.58 (step t542.t2.t5 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule symm :premises (t542.t2.a8))
% 23.33/23.58 (step t542.t2.t6 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule symm :premises (t542.t2.t5))
% 23.33/23.58 (step t542.t2.t7 (cl (= (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule refl)
% 23.33/23.58 (step t542.t2.t8 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule refl)
% 23.33/23.58 (step t542.t2.t9 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t542.t2.a3))
% 23.33/23.58 (step t542.t2.t10 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule symm :premises (t542.t2.t9))
% 23.33/23.58 (step t542.t2.t11 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5)) :rule symm :premises (t542.t2.a2))
% 23.33/23.58 (step t542.t2.t12 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule symm :premises (t542.t2.t11))
% 23.33/23.58 (step t542.t2.t13 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 23.33/23.58 (step t542.t2.t14 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule cong :premises (t542.t2.t12 t542.t2.t13))
% 23.33/23.58 (step t542.t2.t15 (cl (= tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule trans :premises (t542.t2.t10 t542.t2.t14))
% 23.33/23.58 (step t542.t2.t16 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 23.33/23.58 (step t542.t2.t17 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.inverse tptp.sk_c7)))) :rule cong :premises (t542.t2.t15 t542.t2.t16))
% 23.33/23.58 (step t542.t2.t18 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t542.t2.t15))
% 23.33/23.58 (step t542.t2.t19 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule cong :premises (t542.t2.t15))
% 23.33/23.58 (step t542.t2.t20 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule cong :premises (t542.t2.t14))
% 23.33/23.58 (step t542.t2.t21 (cl (= (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule symm :premises (t542.t2.t20))
% 23.33/23.58 (step t542.t2.t22 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule trans :premises (t542.t2.t19 t542.t2.t21))
% 23.33/23.58 (step t542.t2.t23 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t542.t2.t18 t542.t2.t22))
% 23.33/23.58 (step t542.t2.t24 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t542.t2.t10 t542.t2.t8))
% 23.33/23.58 (step t542.t2.t25 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule trans :premises (t542.t2.t17 t542.t2.t23 t542.t2.t24))
% 23.33/23.58 (step t542.t2.t26 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule cong :premises (t542.t2.t8 t542.t2.t25))
% 23.33/23.58 (step t542.t2.t27 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule symm :premises (t542.t2.a7))
% 23.33/23.58 (step t542.t2.t28 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.identity)) :rule symm :premises (t542.t2.a6))
% 23.33/23.58 (step t542.t2.t29 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t542.t2.t28 t542.t2.t8))
% 23.33/23.58 (step t542.t2.t30 (cl (= (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule symm :premises (t542.t2.a5))
% 23.33/23.58 (step t542.t2.t31 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule trans :premises (t542.t2.t26 t542.t2.t27 t542.t2.t29 t542.t2.t30))
% 23.33/23.58 (step t542.t2.t32 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t542.t2.t7 t542.t2.t31))
% 23.33/23.58 (step t542.t2.t33 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.identity)) :rule symm :premises (t542.t2.a4))
% 23.33/23.58 (step t542.t2.t34 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.identity)) :rule trans :premises (t542.t2.t2 t542.t2.t4 t542.t2.t6 t542.t2.t32 t542.t2.t33))
% 23.33/23.58 (step t542.t2.t35 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule symm :premises (t542.t2.t34))
% 23.33/23.58 (step t542.t2.t36 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.inverse tptp.sk_c7)))) :rule symm :premises (t542.t2.t23))
% 23.33/23.58 (step t542.t2.t37 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule symm :premises (t542.t2.t17))
% 23.33/23.58 (step t542.t2.t38 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule trans :premises (t542.t2.t36 t542.t2.t37))
% 23.33/23.58 (step t542.t2.t39 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule symm :premises (t542.t2.t38))
% 23.33/23.58 (step t542.t2.t40 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule trans :premises (t542.t2.t35 t542.t2.t39))
% 23.33/23.58 (step t542.t2.t41 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 23.33/23.58 (step t542.t2.t42 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7))) :rule cong :premises (t542.t2.t40 t542.t2.t41))
% 23.33/23.58 (step t542.t2.t43 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7))) :rule symm :premises (t542.t2.a29))
% 23.33/23.58 (step t542.t2.t44 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) :rule symm :premises (t542.t2.t43))
% 23.33/23.58 (step t542.t2.t45 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule cong :premises (t542.t2.t20 t542.t2.t15))
% 23.33/23.58 (step t542.t2.t46 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) tptp.identity)) :rule symm :premises (t542.t2.a1))
% 23.33/23.58 (step t542.t2.t47 (cl (= (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) :rule refl)
% 23.33/23.58 (step t542.t2.t48 (cl (= (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4))) :rule refl)
% 23.33/23.58 (step t542.t2.t49 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule symm :premises (t542.t2.t32))
% 23.33/23.58 (step t542.t2.t50 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) :rule symm :premises (t542.t2.t45))
% 23.33/23.58 (step t542.t2.t51 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t542.t2.a11))
% 23.33/23.58 (step t542.t2.t52 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule symm :premises (t542.t2.t51))
% 23.33/23.58 (step t542.t2.t53 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t542.t2.a12))
% 23.33/23.58 (step t542.t2.t54 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule refl)
% 23.33/23.58 (step t542.t2.t55 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule cong :premises (t542.t2.t53 t542.t2.t54))
% 23.33/23.58 (step t542.t2.t56 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule symm :premises (t542.t2.t55))
% 23.33/23.58 (step t542.t2.t57 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 23.33/23.58 (step t542.t2.t58 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t542.t2.a18))
% 23.33/23.58 (step t542.t2.t59 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule symm :premises (t542.t2.t58))
% 23.33/23.58 (step t542.t2.t60 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t542.t2.a17))
% 23.33/23.58 (step t542.t2.t61 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t542.t2.t60))
% 23.33/23.58 (step t542.t2.t62 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 23.33/23.58 (step t542.t2.t63 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4))) :rule cong :premises (t542.t2.t61 t542.t2.t62))
% 23.33/23.58 (step t542.t2.t64 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4))) :rule symm :premises (t542.t2.a16))
% 23.33/23.58 (step t542.t2.t65 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule symm :premises (t542.t2.t64))
% 23.33/23.58 (step t542.t2.t66 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c4)) :rule symm :premises (t542.t2.a15))
% 23.33/23.58 (step t542.t2.t67 (cl (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t542.t2.t66))
% 23.33/23.58 (step t542.t2.t68 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c4)) :rule symm :premises (t542.t2.t67))
% 23.33/23.58 (step t542.t2.t69 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t542.t2.a13))
% 23.33/23.58 (step t542.t2.t70 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (tptp.multiply tptp.sk_c4 tptp.sk_c6))) :rule cong :premises (t542.t2.t68 t542.t2.t69))
% 23.33/23.58 (step t542.t2.t71 (cl (= tptp.sk_c4 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) :rule trans :premises (t542.t2.t59 t542.t2.t63 t542.t2.t65 t542.t2.t70))
% 23.33/23.58 (step t542.t2.t72 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule cong :premises (t542.t2.t57 t542.t2.t71))
% 23.33/23.58 (step t542.t2.t73 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6))) :rule symm :premises (t542.t2.a14))
% 23.33/23.58 (step t542.t2.t74 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule symm :premises (t542.t2.t73))
% 23.33/23.58 (step t542.t2.t75 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6))) :rule symm :premises (t542.t2.t74))
% 23.33/23.58 (step t542.t2.t76 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule cong :premises (t542.t2.t69 t542.t2.t13))
% 23.33/23.58 (step t542.t2.t77 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule trans :premises (t542.t2.a13 t542.t2.t72 t542.t2.t75 t542.t2.t76))
% 23.33/23.58 (step t542.t2.t78 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule cong :premises (t542.t2.a12 t542.t2.t77))
% 23.33/23.58 (step t542.t2.t79 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule symm :premises (t542.t2.t78))
% 23.33/23.58 (step t542.t2.t80 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) :rule cong :premises (t542.t2.t10 t542.t2.t13))
% 23.33/23.58 (step t542.t2.t81 (cl (= tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) :rule trans :premises (t542.t2.t10 t542.t2.t14 t542.t2.t52 t542.t2.t56 t542.t2.t79 t542.t2.t80))
% 23.33/23.58 (step t542.t2.t82 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) :rule cong :premises (t542.t2.t8 t542.t2.t81))
% 23.33/23.58 (step t542.t2.t83 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6))) :rule symm :premises (t542.t2.a21))
% 23.33/23.58 (step t542.t2.t84 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t542.t2.t28 t542.t2.t13))
% 23.33/23.58 (step t542.t2.t85 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t542.t2.a20))
% 23.33/23.58 (step t542.t2.t86 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t542.t2.a28))
% 23.33/23.58 (step t542.t2.t87 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule symm :premises (t542.t2.t86))
% 23.33/23.58 (step t542.t2.t88 (cl (= tptp.identity (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule trans :premises (t542.t2.a1 t542.t2.t50 t542.t2.t82 t542.t2.t83 t542.t2.t84 t542.t2.t85 t542.t2.t87))
% 23.33/23.58 (step t542.t2.t89 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c7))) :rule symm :premises (t542.t2.t22))
% 23.33/23.58 (step t542.t2.t90 (cl (= (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)))) :rule cong :premises (t542.t2.t88 t542.t2.t89))
% 23.33/23.58 (step t542.t2.t91 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)))) :rule symm :premises (t542.t2.a27))
% 23.33/23.58 (step t542.t2.t92 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) :rule symm :premises (t542.t2.t91))
% 23.33/23.58 (step t542.t2.t93 (cl (= (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.inverse tptp.sk_c7)))) :rule cong :premises (t542.t2.t12 t542.t2.t16))
% 23.33/23.58 (step t542.t2.t94 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t542.t2.t52))
% 23.33/23.58 (step t542.t2.t95 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule symm :premises (t542.t2.t14))
% 23.33/23.58 (step t542.t2.t96 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c7)) :rule trans :premises (t542.t2.t78 t542.t2.t55 t542.t2.t94 t542.t2.t95 t542.t2.t9))
% 23.33/23.58 (step t542.t2.t97 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t542.t2.t96 t542.t2.t22))
% 23.33/23.58 (step t542.t2.t98 (cl (= (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)) tptp.sk_c6)) :rule trans :premises (t542.t2.t93 t542.t2.t97 t542.t2.t36 t542.t2.t37 t542.t2.t2 t542.t2.t4 t542.t2.t6 t542.t2.t32 t542.t2.t33 t542.t2.a1 t542.t2.t50 t542.t2.t82 t542.t2.t83 t542.t2.t84 t542.t2.t85))
% 23.33/23.58 (step t542.t2.t99 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))) (tptp.multiply tptp.sk_c4 tptp.sk_c6))) :rule cong :premises (t542.t2.t62 t542.t2.t98))
% 23.33/23.58 (step t542.t2.t100 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule symm :premises (t542.t2.t70))
% 23.33/23.58 (step t542.t2.t101 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule symm :premises (t542.t2.t63))
% 23.33/23.58 (step t542.t2.t102 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c4)) :rule trans :premises (t542.t2.a5 t542.t2.t90 t542.t2.t92 t542.t2.t99 t542.t2.t100 t542.t2.t64 t542.t2.t101 t542.t2.t58))
% 23.33/23.58 (step t542.t2.t103 (cl (= (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4))) :rule cong :premises (t542.t2.t102))
% 23.33/23.58 (step t542.t2.t104 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t542.t2.t103 t542.t2.t31))
% 23.33/23.58 (step t542.t2.t105 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule trans :premises (t542.t2.t45 t542.t2.t46 t542.t2.a4 t542.t2.t49 t542.t2.t104))
% 23.33/23.58 (step t542.t2.t106 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule cong :premises (t542.t2.t48 t542.t2.t105))
% 23.33/23.58 (step t542.t2.t107 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule symm :premises (t542.t2.a26))
% 23.33/23.58 (step t542.t2.t108 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule trans :premises (t542.t2.t106 t542.t2.t107))
% 23.33/23.58 (step t542.t2.t109 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)))) :rule cong :premises (t542.t2.t108 t542.t2.t48))
% 23.33/23.58 (step t542.t2.t110 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)))) :rule symm :premises (t542.t2.a25))
% 23.33/23.58 (step t542.t2.t111 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule symm :premises (t542.t2.t110))
% 23.33/23.58 (step t542.t2.t112 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) tptp.identity)) :rule trans :premises (t542.t2.t45 t542.t2.t46))
% 23.33/23.58 (step t542.t2.t113 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) :rule cong :premises (t542.t2.t112 t542.t2.t48))
% 23.33/23.58 (step t542.t2.t114 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) :rule symm :premises (t542.t2.t113))
% 23.33/23.58 (step t542.t2.t115 (cl (= (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) :rule trans :premises (t542.t2.a0 t542.t2.t114))
% 23.33/23.58 (step t542.t2.t116 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t542.t2.t48 t542.t2.t115))
% 23.33/23.58 (step t542.t2.t117 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) :rule symm :premises (t542.t2.a24))
% 23.33/23.58 (step t542.t2.t118 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) :rule trans :premises (t542.t2.t116 t542.t2.t117))
% 23.33/23.58 (step t542.t2.t119 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) :rule refl)
% 23.33/23.58 (step t542.t2.t120 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t542.t2.t118 t542.t2.t119))
% 23.33/23.58 (step t542.t2.t121 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule trans :premises (t542.t2.t109 t542.t2.t111 t542.t2.t120))
% 23.33/23.58 (step t542.t2.t122 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) :rule cong :premises (t542.t2.t47 t542.t2.t121))
% 23.33/23.58 (step t542.t2.t123 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule symm :premises (t542.t2.a23))
% 23.33/23.58 (step t542.t2.t124 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) tptp.identity)) :rule symm :premises (t542.t2.a22))
% 23.33/23.58 (step t542.t2.t125 (cl (= tptp.identity tptp.sk_c6)) :rule trans :premises (t542.t2.a1 t542.t2.t50 t542.t2.t82 t542.t2.t83 t542.t2.t84 t542.t2.t85))
% 23.33/23.58 (step t542.t2.t126 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) tptp.sk_c6)) :rule trans :premises (t542.t2.t124 t542.t2.t125))
% 23.33/23.58 (step t542.t2.t127 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t542.t2.t126 t542.t2.t119))
% 23.33/23.58 (step t542.t2.t128 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule trans :premises (t542.t2.t45 t542.t2.t46 t542.t2.a22 t542.t2.t122 t542.t2.t123 t542.t2.t127))
% 23.33/23.58 (step t542.t2.t129 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) :rule cong :premises (t542.t2.t41 t542.t2.t128))
% 23.33/23.58 (step t542.t2.t130 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule symm :premises (t542.t2.a19))
% 23.33/23.58 (step t542.t2.t131 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t542.t2.t96 t542.t2.t119))
% 23.33/23.58 (step t542.t2.t132 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)))) :rule symm :premises (t542.t2.a10))
% 23.33/23.58 (step t542.t2.t133 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) :rule symm :premises (t542.t2.t112))
% 23.33/23.58 (step t542.t2.t134 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) :rule trans :premises (t542.t2.t38 t542.t2.t34 t542.t2.t133))
% 23.33/23.58 (step t542.t2.t135 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) :rule cong :premises (t542.t2.t134 t542.t2.t48))
% 23.33/23.58 (step t542.t2.t136 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) :rule symm :premises (t542.t2.a0))
% 23.33/23.58 (step t542.t2.t137 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule trans :premises (t542.t2.a12 t542.t2.t42 t542.t2.t44 t542.t2.t129 t542.t2.t130 t542.t2.t131 t542.t2.t132 t542.t2.t135 t542.t2.t113 t542.t2.t136))
% 23.33/23.58 (step t542.t2 (cl (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (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.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule subproof :discharge (t542.t2.a0 t542.t2.a1 t542.t2.a2 t542.t2.a3 t542.t2.a4 t542.t2.a5 t542.t2.a6 t542.t2.a7 t542.t2.a8 t542.t2.a9 t542.t2.a10 t542.t2.a11 t542.t2.a12 t542.t2.a13 t542.t2.a14 t542.t2.a15 t542.t2.a16 t542.t2.a17 t542.t2.a18 t542.t2.a19 t542.t2.a20 t542.t2.a21 t542.t2.a22 t542.t2.a23 t542.t2.a24 t542.t2.a25 t542.t2.a26 t542.t2.a27 t542.t2.a28 t542.t2.a29))
% 23.33/23.58 (step t542.t3 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) :rule and_pos)
% 23.33/23.58 (step t542.t4 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule and_pos)
% 23.33/23.58 (step t542.t5 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 23.33/23.58 (step t542.t6 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule and_pos)
% 23.33/23.58 (step t542.t7 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule and_pos)
% 23.33/23.58 (step t542.t8 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule and_pos)
% 23.33/23.58 (step t542.t9 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.58 (step t542.t10 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule and_pos)
% 23.33/23.58 (step t542.t11 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule and_pos)
% 23.33/23.58 (step t542.t12 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule and_pos)
% 23.33/23.58 (step t542.t13 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule and_pos)
% 23.33/23.58 (step t542.t14 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.58 (step t542.t15 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 23.33/23.58 (step t542.t16 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule and_pos)
% 23.33/23.58 (step t542.t17 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.58 (step t542.t18 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 23.33/23.58 (step t542.t19 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule and_pos)
% 23.33/23.58 (step t542.t20 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 23.33/23.58 (step t542.t21 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 23.33/23.58 (step t542.t22 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) :rule and_pos)
% 23.33/23.58 (step t542.t23 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 23.33/23.58 (step t542.t24 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) :rule and_pos)
% 23.33/23.58 (step t542.t25 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) :rule and_pos)
% 23.33/23.58 (step t542.t26 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) :rule and_pos)
% 23.33/23.58 (step t542.t27 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) :rule and_pos)
% 23.33/23.58 (step t542.t28 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule and_pos)
% 23.33/23.58 (step t542.t29 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule and_pos)
% 23.33/23.58 (step t542.t30 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) :rule and_pos)
% 23.33/23.58 (step t542.t31 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 23.33/23.58 (step t542.t32 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) :rule and_pos)
% 23.33/23.58 (step t542.t33 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) :rule resolution :premises (t542.t2 t542.t3 t542.t4 t542.t5 t542.t6 t542.t7 t542.t8 t542.t9 t542.t10 t542.t11 t542.t12 t542.t13 t542.t14 t542.t15 t542.t16 t542.t17 t542.t18 t542.t19 t542.t20 t542.t21 t542.t22 t542.t23 t542.t24 t542.t25 t542.t26 t542.t27 t542.t28 t542.t29 t542.t30 t542.t31 t542.t32))
% 23.33/23.58 (step t542.t34 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule reordering :premises (t542.t33))
% 23.33/23.58 (step t542.t35 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule contraction :premises (t542.t34))
% 23.33/23.58 (step t542.t36 (cl (=> (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule resolution :premises (t542.t1 t542.t35))
% 23.33/23.58 (step t542.t37 (cl (=> (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))) :rule implies_neg2)
% 23.33/23.58 (step t542.t38 (cl (=> (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (=> (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t542.t36 t542.t37))
% 23.33/23.58 (step t542.t39 (cl (=> (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))) :rule contraction :premises (t542.t38))
% 23.33/23.58 (step t542.t40 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule implies :premises (t542.t39))
% 23.33/23.58 (step t542.t41 (cl (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (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.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule and_neg)
% 23.33/23.58 (step t542.t42 (cl (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule resolution :premises (t542.t41 t542.a24 t542.a7 t542.a0 t542.a1 t542.a15 t542.a11 t542.a8 t542.a12 t542.a16 t542.a14 t542.a22 t542.a5 t542.a9 t542.a2 t542.a19 t542.a3 t542.a20 t542.a17 t542.a18 t542.a29 t542.a6 t542.a21 t542.a27 t542.a28 t542.a25 t542.a26 t542.a23 t542.a13 t542.a4 t542.a10))
% 23.33/23.58 (step t542.t43 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule resolution :premises (t542.t40 t542.t42))
% 23.33/23.58 (step t542 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule subproof :discharge (t542.a0 t542.a1 t542.a2 t542.a3 t542.a4 t542.a5 t542.a6 t542.a7 t542.a8 t542.a9 t542.a10 t542.a11 t542.a12 t542.a13 t542.a14 t542.a15 t542.a16 t542.a17 t542.a18 t542.a19 t542.a20 t542.a21 t542.a22 t542.a23 t542.a24 t542.a25 t542.a26 t542.a27 t542.a28 t542.a29))
% 23.33/23.58 (step t543 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 23.33/23.58 (step t544 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule and_pos)
% 23.33/23.58 (step t545 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule and_pos)
% 23.33/23.58 (step t546 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 23.33/23.58 (step t547 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 23.33/23.58 (step t548 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.58 (step t549 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 23.33/23.58 (step t550 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule and_pos)
% 23.33/23.58 (step t551 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.58 (step t552 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 23.33/23.58 (step t553 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) :rule and_pos)
% 23.33/23.58 (step t554 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule and_pos)
% 23.33/23.58 (step t555 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule and_pos)
% 23.33/23.58 (step t556 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) :rule and_pos)
% 23.33/23.58 (step t557 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule and_pos)
% 23.33/23.58 (step t558 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule and_pos)
% 23.33/23.58 (step t559 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule and_pos)
% 23.33/23.58 (step t560 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 23.33/23.58 (step t561 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 23.33/23.58 (step t562 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.58 (step t563 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule and_pos)
% 23.33/23.58 (step t564 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) :rule and_pos)
% 23.33/23.58 (step t565 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule and_pos)
% 23.33/23.58 (step t566 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule and_pos)
% 23.33/23.58 (step t567 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) :rule and_pos)
% 23.33/23.58 (step t568 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) :rule and_pos)
% 23.33/23.58 (step t569 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) :rule and_pos)
% 23.33/23.58 (step t570 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) :rule and_pos)
% 23.33/23.58 (step t571 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) :rule and_pos)
% 23.33/23.58 (step t572 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) :rule and_pos)
% 23.33/23.58 (step t573 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))))) :rule resolution :premises (t542 t543 t544 t545 t546 t547 t548 t549 t550 t551 t552 t553 t554 t555 t556 t557 t558 t559 t560 t561 t562 t563 t564 t565 t566 t567 t568 t569 t570 t571 t572))
% 23.33/23.58 (step t574 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule reordering :premises (t573))
% 23.33/23.58 (step t575 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule contraction :premises (t574))
% 23.33/23.58 (step t576 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule resolution :premises (t541 t575))
% 23.33/23.58 (step t577 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))) :rule implies_neg2)
% 23.33/23.58 (step t578 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t576 t577))
% 23.33/23.58 (step t579 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))) :rule contraction :premises (t578))
% 23.33/23.59 (step t580 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule implies :premises (t579))
% 23.33/23.59 (step t581 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule resolution :premises (t540 t580))
% 23.33/23.59 (step t582 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))))) :rule reordering :premises (t581))
% 23.33/23.59 (step t583 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) :rule and_neg)
% 23.33/23.59 (step t584 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) :rule implies_neg1)
% 23.33/23.59 (anchor :step t585)
% 23.33/23.59 (assume t585.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 23.33/23.59 (assume t585.a1 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))
% 23.33/23.59 (assume t585.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))
% 23.33/23.59 (assume t585.a3 (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))
% 23.33/23.59 (assume t585.a4 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 23.33/23.59 (assume t585.a5 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 23.33/23.59 (assume t585.a6 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))
% 23.33/23.59 (assume t585.a7 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))))
% 23.33/23.59 (assume t585.a8 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 23.33/23.59 (assume t585.a9 (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.59 (assume t585.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))
% 23.33/23.59 (assume t585.a11 (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))
% 23.33/23.59 (assume t585.a12 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.59 (assume t585.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))
% 23.33/23.59 (assume t585.a14 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 23.33/23.59 (assume t585.a15 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 23.33/23.59 (assume t585.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))))
% 23.33/23.59 (assume t585.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))
% 23.33/23.59 (assume t585.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))
% 23.33/23.59 (step t585.t1 (cl (=> (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies_neg1)
% 23.33/23.59 (anchor :step t585.t2)
% 23.33/23.59 (assume t585.t2.a0 (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))
% 23.33/23.59 (assume t585.t2.a1 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.59 (assume t585.t2.a2 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))
% 23.33/23.59 (assume t585.t2.a3 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))
% 23.33/23.59 (assume t585.t2.a4 (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 23.33/23.59 (assume t585.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))
% 23.33/23.59 (assume t585.t2.a6 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))))
% 23.33/23.59 (assume t585.t2.a7 (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.59 (assume t585.t2.a8 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))
% 23.33/23.59 (assume t585.t2.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 23.33/23.59 (assume t585.t2.a10 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 23.33/23.59 (assume t585.t2.a11 (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))
% 23.33/23.59 (assume t585.t2.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))))
% 23.33/23.59 (assume t585.t2.a13 (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))
% 23.33/23.59 (assume t585.t2.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))
% 23.33/23.59 (assume t585.t2.a15 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 23.33/23.59 (assume t585.t2.a16 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 23.33/23.59 (assume t585.t2.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))
% 23.33/23.59 (assume t585.t2.a18 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 23.33/23.59 (step t585.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t585.t2.a18))
% 23.33/23.59 (step t585.t2.t2 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t585.t2.t1))
% 23.33/23.59 (step t585.t2.t3 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.identity)) :rule symm :premises (t585.t2.a6))
% 23.33/23.59 (step t585.t2.t4 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule symm :premises (t585.t2.t3))
% 23.33/23.59 (step t585.t2.t5 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 23.33/23.59 (step t585.t2.t6 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6))) :rule cong :premises (t585.t2.t4 t585.t2.t5))
% 23.33/23.59 (step t585.t2.t7 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6))) :rule symm :premises (t585.t2.a17))
% 23.33/23.59 (step t585.t2.t8 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) :rule symm :premises (t585.t2.t7))
% 23.33/23.59 (step t585.t2.t9 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule refl)
% 23.33/23.59 (step t585.t2.t10 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t585.t2.a3))
% 23.33/23.59 (step t585.t2.t11 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule symm :premises (t585.t2.t10))
% 23.33/23.59 (step t585.t2.t12 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t585.t2.t11))
% 23.33/23.59 (step t585.t2.t13 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t585.t2.t12 t585.t2.t5))
% 23.33/23.59 (step t585.t2.t14 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 23.33/23.59 (step t585.t2.t15 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t585.t2.a16))
% 23.33/23.59 (step t585.t2.t16 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule symm :premises (t585.t2.t15))
% 23.33/23.59 (step t585.t2.t17 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t585.t2.a15))
% 23.33/23.59 (step t585.t2.t18 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t585.t2.t17))
% 23.33/23.59 (step t585.t2.t19 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 23.33/23.59 (step t585.t2.t20 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4))) :rule cong :premises (t585.t2.t18 t585.t2.t19))
% 23.33/23.59 (step t585.t2.t21 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4))) :rule symm :premises (t585.t2.a14))
% 23.33/23.59 (step t585.t2.t22 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule symm :premises (t585.t2.t21))
% 23.33/23.59 (step t585.t2.t23 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c4)) :rule symm :premises (t585.t2.a13))
% 23.33/23.59 (step t585.t2.t24 (cl (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t585.t2.t23))
% 23.33/23.59 (step t585.t2.t25 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c4)) :rule symm :premises (t585.t2.t24))
% 23.33/23.59 (step t585.t2.t26 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t585.t2.a11))
% 23.33/23.59 (step t585.t2.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (tptp.multiply tptp.sk_c4 tptp.sk_c6))) :rule cong :premises (t585.t2.t25 t585.t2.t26))
% 23.33/23.59 (step t585.t2.t28 (cl (= tptp.sk_c4 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) :rule trans :premises (t585.t2.t16 t585.t2.t20 t585.t2.t22 t585.t2.t27))
% 23.33/23.59 (step t585.t2.t29 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule cong :premises (t585.t2.t14 t585.t2.t28))
% 23.33/23.59 (step t585.t2.t30 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6))) :rule symm :premises (t585.t2.a12))
% 23.33/23.59 (step t585.t2.t31 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule symm :premises (t585.t2.t30))
% 23.33/23.59 (step t585.t2.t32 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6))) :rule symm :premises (t585.t2.t31))
% 23.33/23.59 (step t585.t2.t33 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule cong :premises (t585.t2.t26 t585.t2.t5))
% 23.33/23.59 (step t585.t2.t34 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule trans :premises (t585.t2.a11 t585.t2.t29 t585.t2.t32 t585.t2.t33))
% 23.33/23.59 (step t585.t2.t35 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule cong :premises (t585.t2.a10 t585.t2.t34))
% 23.33/23.59 (step t585.t2.t36 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t585.t2.a10))
% 23.33/23.59 (step t585.t2.t37 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule refl)
% 23.33/23.59 (step t585.t2.t38 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule cong :premises (t585.t2.t36 t585.t2.t37))
% 23.33/23.59 (step t585.t2.t39 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t585.t2.a9))
% 23.33/23.59 (step t585.t2.t40 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule symm :premises (t585.t2.t39))
% 23.33/23.59 (step t585.t2.t41 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t585.t2.t40))
% 23.33/23.59 (step t585.t2.t42 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5)) :rule symm :premises (t585.t2.a4))
% 23.33/23.59 (step t585.t2.t43 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule cong :premises (t585.t2.t42 t585.t2.t5))
% 23.33/23.59 (step t585.t2.t44 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6) tptp.sk_c7)) :rule trans :premises (t585.t2.t13 t585.t2.t35 t585.t2.t38 t585.t2.t41 t585.t2.t43 t585.t2.t12))
% 23.33/23.59 (step t585.t2.t45 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) :rule cong :premises (t585.t2.t9 t585.t2.t44))
% 23.33/23.59 (step t585.t2.t46 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t585.t2.t43))
% 23.33/23.59 (step t585.t2.t47 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule cong :premises (t585.t2.t46))
% 23.33/23.59 (step t585.t2.t48 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) tptp.sk_c7)) :rule trans :premises (t585.t2.t43 t585.t2.t12))
% 23.33/23.59 (step t585.t2.t49 (cl (= tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t585.t2.t48))
% 23.33/23.59 (step t585.t2.t50 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule cong :premises (t585.t2.t47 t585.t2.t49))
% 23.33/23.59 (step t585.t2.t51 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) tptp.identity)) :rule symm :premises (t585.t2.a8))
% 23.33/23.59 (step t585.t2.t52 (cl (= (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule refl)
% 23.33/23.59 (step t585.t2.t53 (cl (= (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule symm :premises (t585.t2.a7))
% 23.33/23.59 (step t585.t2.t54 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule symm :premises (t585.t2.t53))
% 23.33/23.59 (step t585.t2.t55 (cl (= (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t585.t2.t4 t585.t2.t9))
% 23.33/23.59 (step t585.t2.t56 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule symm :premises (t585.t2.a5))
% 23.33/23.59 (step t585.t2.t57 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule symm :premises (t585.t2.t56))
% 23.33/23.59 (step t585.t2.t58 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t585.t2.t12 t585.t2.t9))
% 23.33/23.59 (step t585.t2.t59 (cl (= (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.inverse tptp.sk_c7))) :rule cong :premises (t585.t2.t48))
% 23.33/23.59 (step t585.t2.t60 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c7))) :rule trans :premises (t585.t2.t47 t585.t2.t59))
% 23.33/23.59 (step t585.t2.t61 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.inverse tptp.sk_c7)))) :rule cong :premises (t585.t2.t49 t585.t2.t60))
% 23.33/23.59 (step t585.t2.t62 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 23.33/23.59 (step t585.t2.t63 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule cong :premises (t585.t2.t48 t585.t2.t62))
% 23.33/23.59 (step t585.t2.t64 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule trans :premises (t585.t2.t58 t585.t2.t61 t585.t2.t63))
% 23.33/23.59 (step t585.t2.t65 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule cong :premises (t585.t2.t9 t585.t2.t64))
% 23.33/23.59 (step t585.t2.t66 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule trans :premises (t585.t2.t54 t585.t2.t55 t585.t2.t57 t585.t2.t65))
% 23.33/23.59 (step t585.t2.t67 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule cong :premises (t585.t2.t52 t585.t2.t66))
% 23.33/23.59 (step t585.t2.t68 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule symm :premises (t585.t2.a2))
% 23.33/23.59 (step t585.t2.t69 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.identity)) :rule symm :premises (t585.t2.a1))
% 23.33/23.59 (step t585.t2.t70 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule refl)
% 23.33/23.59 (step t585.t2.t71 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule cong :premises (t585.t2.t69 t585.t2.t70))
% 23.33/23.59 (step t585.t2.t72 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule symm :premises (t585.t2.a0))
% 23.33/23.59 (step t585.t2.t73 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule trans :premises (t585.t2.t2 t585.t2.t6 t585.t2.t8 t585.t2.t45 t585.t2.t50 t585.t2.t51 t585.t2.a1 t585.t2.t67 t585.t2.t68 t585.t2.t71 t585.t2.t72))
% 23.33/23.59 (step t585.t2 (cl (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule subproof :discharge (t585.t2.a0 t585.t2.a1 t585.t2.a2 t585.t2.a3 t585.t2.a4 t585.t2.a5 t585.t2.a6 t585.t2.a7 t585.t2.a8 t585.t2.a9 t585.t2.a10 t585.t2.a11 t585.t2.a12 t585.t2.a13 t585.t2.a14 t585.t2.a15 t585.t2.a16 t585.t2.a17 t585.t2.a18))
% 23.33/23.59 (step t585.t3 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule and_pos)
% 23.33/23.59 (step t585.t4 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule and_pos)
% 23.33/23.59 (step t585.t5 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule and_pos)
% 23.33/23.59 (step t585.t6 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule and_pos)
% 23.33/23.59 (step t585.t7 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 23.33/23.59 (step t585.t8 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule and_pos)
% 23.33/23.59 (step t585.t9 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.59 (step t585.t10 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule and_pos)
% 23.33/23.59 (step t585.t11 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule and_pos)
% 23.33/23.59 (step t585.t12 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.59 (step t585.t13 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 23.33/23.59 (step t585.t14 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule and_pos)
% 23.33/23.59 (step t585.t15 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.59 (step t585.t16 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 23.33/23.59 (step t585.t17 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule and_pos)
% 23.33/23.59 (step t585.t18 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 23.33/23.59 (step t585.t19 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 23.33/23.59 (step t585.t20 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) :rule and_pos)
% 23.33/23.59 (step t585.t21 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 23.33/23.59 (step t585.t22 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))))) :rule resolution :premises (t585.t2 t585.t3 t585.t4 t585.t5 t585.t6 t585.t7 t585.t8 t585.t9 t585.t10 t585.t11 t585.t12 t585.t13 t585.t14 t585.t15 t585.t16 t585.t17 t585.t18 t585.t19 t585.t20 t585.t21))
% 23.33/23.59 (step t585.t23 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule reordering :premises (t585.t22))
% 23.33/23.59 (step t585.t24 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule contraction :premises (t585.t23))
% 23.33/23.59 (step t585.t25 (cl (=> (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule resolution :premises (t585.t1 t585.t24))
% 23.33/23.59 (step t585.t26 (cl (=> (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule implies_neg2)
% 23.33/23.59 (step t585.t27 (cl (=> (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (=> (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule resolution :premises (t585.t25 t585.t26))
% 23.33/23.59 (step t585.t28 (cl (=> (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule contraction :premises (t585.t27))
% 23.33/23.59 (step t585.t29 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule implies :premises (t585.t28))
% 23.33/23.59 (step t585.t30 (cl (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule and_neg)
% 23.33/23.59 (step t585.t31 (cl (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t585.t30 t585.a11 t585.a12 t585.a13 t585.a1 t585.a0 t585.a10 t585.a7 t585.a9 t585.a6 t585.a4 t585.a8 t585.a2 t585.a16 t585.a3 t585.a17 t585.a14 t585.a15 t585.a18 t585.a5))
% 23.33/23.59 (step t585.t32 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule resolution :premises (t585.t29 t585.t31))
% 23.33/23.59 (step t585 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule subproof :discharge (t585.a0 t585.a1 t585.a2 t585.a3 t585.a4 t585.a5 t585.a6 t585.a7 t585.a8 t585.a9 t585.a10 t585.a11 t585.a12 t585.a13 t585.a14 t585.a15 t585.a16 t585.a17 t585.a18))
% 23.33/23.59 (step t586 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 23.33/23.59 (step t587 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule and_pos)
% 23.33/23.59 (step t588 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule and_pos)
% 23.33/23.59 (step t589 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 23.33/23.59 (step t590 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.59 (step t591 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 23.33/23.59 (step t592 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule and_pos)
% 23.33/23.59 (step t593 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.59 (step t594 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 23.33/23.59 (step t595 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule and_pos)
% 23.33/23.59 (step t596 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule and_pos)
% 23.33/23.59 (step t597 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule and_pos)
% 23.33/23.59 (step t598 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule and_pos)
% 23.33/23.59 (step t599 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule and_pos)
% 23.33/23.59 (step t600 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 23.33/23.59 (step t601 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 23.33/23.59 (step t602 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.59 (step t603 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule and_pos)
% 23.33/23.59 (step t604 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) :rule and_pos)
% 23.33/23.59 (step t605 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))))) :rule resolution :premises (t585 t586 t587 t588 t589 t590 t591 t592 t593 t594 t595 t596 t597 t598 t599 t600 t601 t602 t603 t604))
% 23.33/23.59 (step t606 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule reordering :premises (t605))
% 23.33/23.59 (step t607 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule contraction :premises (t606))
% 23.33/23.59 (step t608 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule resolution :premises (t584 t607))
% 23.33/23.59 (step t609 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule implies_neg2)
% 23.33/23.59 (step t610 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule resolution :premises (t608 t609))
% 23.33/23.59 (step t611 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule contraction :premises (t610))
% 23.33/23.59 (step t612 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule implies :premises (t611))
% 23.33/23.59 (step t613 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule resolution :premises (t583 t612))
% 23.33/23.59 (step t614 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) :rule reordering :premises (t613))
% 23.33/23.59 (step t615 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) :rule and_neg)
% 23.33/23.59 (step t616 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) :rule implies_neg1)
% 23.33/23.59 (anchor :step t617)
% 23.33/23.59 (assume t617.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 23.33/23.59 (assume t617.a1 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))
% 23.33/23.59 (assume t617.a2 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 23.33/23.59 (assume t617.a3 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))))
% 23.33/23.59 (assume t617.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))
% 23.33/23.59 (step t617.t1 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies_neg1)
% 23.33/23.59 (anchor :step t617.t2)
% 23.33/23.59 (assume t617.t2.a0 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))
% 23.33/23.59 (assume t617.t2.a1 (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 23.33/23.59 (assume t617.t2.a2 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))
% 23.33/23.59 (assume t617.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))))
% 23.33/23.59 (assume t617.t2.a4 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 23.33/23.59 (step t617.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t617.t2.a4))
% 23.33/23.59 (step t617.t2.t2 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t617.t2.t1))
% 23.33/23.59 (step t617.t2.t3 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.identity)) :rule symm :premises (t617.t2.a3))
% 23.33/23.59 (step t617.t2.t4 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule symm :premises (t617.t2.t3))
% 23.33/23.59 (step t617.t2.t5 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 23.33/23.59 (step t617.t2.t6 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6))) :rule cong :premises (t617.t2.t4 t617.t2.t5))
% 23.33/23.59 (step t617.t2.t7 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6))) :rule symm :premises (t617.t2.a2))
% 23.33/23.59 (step t617.t2.t8 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) :rule symm :premises (t617.t2.t7))
% 23.33/23.59 (step t617.t2.t9 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5)) :rule symm :premises (t617.t2.a1))
% 23.33/23.59 (step t617.t2.t10 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule cong :premises (t617.t2.t9 t617.t2.t5))
% 23.33/23.59 (step t617.t2.t11 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t617.t2.t10))
% 23.33/23.59 (step t617.t2.t12 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule cong :premises (t617.t2.t11))
% 23.33/23.59 (step t617.t2.t13 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t617.t2.a0))
% 23.33/23.59 (step t617.t2.t14 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule symm :premises (t617.t2.t13))
% 23.33/23.59 (step t617.t2.t15 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t617.t2.t14))
% 23.33/23.59 (step t617.t2.t16 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) tptp.sk_c7)) :rule trans :premises (t617.t2.t10 t617.t2.t15))
% 23.33/23.59 (step t617.t2.t17 (cl (= (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.inverse tptp.sk_c7))) :rule cong :premises (t617.t2.t16))
% 23.33/23.59 (step t617.t2.t18 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c7))) :rule trans :premises (t617.t2.t12 t617.t2.t17))
% 23.33/23.59 (step t617.t2.t19 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t617.t2.t15 t617.t2.t5))
% 23.33/23.59 (step t617.t2.t20 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6) tptp.sk_c5)) :rule trans :premises (t617.t2.t19 t617.t2.t9))
% 23.33/23.59 (step t617.t2.t21 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule cong :premises (t617.t2.t18 t617.t2.t20))
% 23.33/23.59 (step t617.t2.t22 (cl (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule trans :premises (t617.t2.t2 t617.t2.t6 t617.t2.t8 t617.t2.t21))
% 23.33/23.59 (step t617.t2 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule subproof :discharge (t617.t2.a0 t617.t2.a1 t617.t2.a2 t617.t2.a3 t617.t2.a4))
% 23.33/23.59 (step t617.t3 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule and_pos)
% 23.33/23.59 (step t617.t4 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 23.33/23.59 (step t617.t5 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) :rule and_pos)
% 23.33/23.59 (step t617.t6 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.59 (step t617.t7 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 23.33/23.59 (step t617.t8 (cl (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))))) :rule resolution :premises (t617.t2 t617.t3 t617.t4 t617.t5 t617.t6 t617.t7))
% 23.33/23.59 (step t617.t9 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule reordering :premises (t617.t8))
% 23.33/23.59 (step t617.t10 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule contraction :premises (t617.t9))
% 23.33/23.59 (step t617.t11 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule resolution :premises (t617.t1 t617.t10))
% 23.33/23.59 (step t617.t12 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5)))) :rule implies_neg2)
% 23.33/23.59 (step t617.t13 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5)))) :rule resolution :premises (t617.t11 t617.t12))
% 23.33/23.59 (step t617.t14 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5)))) :rule contraction :premises (t617.t13))
% 23.33/23.59 (step t617.t15 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule implies :premises (t617.t14))
% 23.33/23.59 (step t617.t16 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule and_neg)
% 23.33/23.59 (step t617.t17 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t617.t16 t617.a1 t617.a0 t617.a4 t617.a3 t617.a2))
% 23.33/23.59 (step t617.t18 (cl (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule resolution :premises (t617.t15 t617.t17))
% 23.33/23.59 (step t617 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule subproof :discharge (t617.a0 t617.a1 t617.a2 t617.a3 t617.a4))
% 23.33/23.59 (step t618 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 23.33/23.59 (step t619 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule and_pos)
% 23.33/23.59 (step t620 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 23.33/23.59 (step t621 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.59 (step t622 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) :rule and_pos)
% 23.33/23.59 (step t623 (cl (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))))) :rule resolution :premises (t617 t618 t619 t620 t621 t622))
% 23.33/23.59 (step t624 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule reordering :premises (t623))
% 23.33/23.59 (step t625 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule contraction :premises (t624))
% 23.33/23.59 (step t626 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule resolution :premises (t616 t625))
% 23.33/23.59 (step t627 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5)))) :rule implies_neg2)
% 23.33/23.59 (step t628 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5)))) :rule resolution :premises (t626 t627))
% 23.33/23.59 (step t629 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5)))) :rule contraction :premises (t628))
% 23.33/23.59 (step t630 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule implies :premises (t629))
% 23.33/23.59 (step t631 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule resolution :premises (t615 t630))
% 23.33/23.59 (step t632 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6))))) :rule reordering :premises (t631))
% 23.33/23.59 (step t633 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule resolution :premises (t144 t151 t158 t165 t167 t169 t171 t309 t317 t325 t336 t344 t352 t363 t371 t379 t387 t395 t403 t411 t419 t427 t435 t443 t451 t459 t467 t475 t483 t491 t499 t507 t515 t539 t395 t403 t411 t419 t483 t515 t582 t317 t325 t336 t344 t352 t363 t371 t379 t387 t395 t403 t411 t419 t427 t435 t443 t451 t459 t467 t475 t483 t491 t499 t507 t515 t614 t387 t395 t403 t411 t419 t427 t435 t443 t459 t467 t483 t491 t499 t507 t515 t632 t387 t491 t507))
% 23.33/23.59 (step t634 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))) :rule contraction :premises (t633))
% 23.33/23.59 (step t635 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6))) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule equiv_pos2)
% 23.33/23.59 (step t636 (cl (= (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule all_simplify)
% 23.33/23.59 (step t637 (cl (= (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule all_simplify)
% 23.33/23.59 (step t638 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) :rule cong :premises (t636 t637))
% 23.33/23.59 (step t639 (cl (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule resolution :premises (t635 t638 a8))
% 23.33/23.59 (step t640 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule or :premises (t639))
% 23.33/23.59 (step t641 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule reordering :premises (t640))
% 23.33/23.59 (step t642 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6))) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule equiv_pos2)
% 23.33/23.59 (step t643 (cl (= (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule all_simplify)
% 23.33/23.59 (step t644 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule cong :premises (t636 t643))
% 23.33/23.59 (step t645 (cl (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule resolution :premises (t642 t644 a10))
% 23.33/23.59 (step t646 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule or :premises (t645))
% 23.33/23.59 (step t647 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule reordering :premises (t646))
% 23.33/23.59 (step t648 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c3) tptp.sk_c4)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c3) tptp.sk_c4))) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))) :rule equiv_pos2)
% 23.33/23.59 (step t649 (cl (= (= (tptp.inverse tptp.sk_c3) tptp.sk_c4) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))) :rule all_simplify)
% 23.33/23.59 (step t650 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c3) tptp.sk_c4)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t636 t649))
% 23.33/23.59 (step t651 (cl (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t648 t650 a9))
% 23.33/23.59 (step t652 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule or :premises (t651))
% 23.33/23.59 (step t653 (cl (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule reordering :premises (t652))
% 23.33/23.59 (step t654 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7))) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule equiv_pos2)
% 23.33/23.59 (step t655 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t636 t126))
% 23.33/23.59 (step t656 (cl (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule resolution :premises (t654 t655 a7))
% 23.33/23.59 (step t657 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule or :premises (t656))
% 23.33/23.59 (step t658 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule reordering :premises (t657))
% 23.33/23.59 (step t659 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule resolution :premises (t634 t641 t647 t653 t658))
% 23.33/23.59 (step t660 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule contraction :premises (t659))
% 23.33/23.59 (step t661 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5)))))) :rule or :premises (t143))
% 23.33/23.59 (step t662 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4)))))) :rule implies_neg1)
% 23.33/23.59 (anchor :step t663)
% 23.33/23.59 (assume t663.a0 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))))
% 23.33/23.59 (step t663.t1 (cl (or (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))))) :rule forall_inst :args ((:= X4 tptp.sk_c1)))
% 23.33/23.59 (step t663.t2 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))))) :rule or :premises (t663.t1))
% 23.33/23.59 (step t663.t3 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t663.t2 t663.a0))
% 23.33/23.59 (step t663 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))))) :rule subproof :discharge (t663.a0))
% 23.33/23.59 (step t664 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t662 t663))
% 23.33/23.59 (step t665 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))))) (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))))) :rule implies_neg2)
% 23.33/23.59 (step t666 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))))) (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t664 t665))
% 23.33/23.59 (step t667 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))))) :rule contraction :premises (t666))
% 23.33/23.59 (step t668 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))))) :rule implies :premises (t667))
% 23.33/23.59 (step t669 (cl (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))) :rule or_pos)
% 23.33/23.59 (step t670 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))))) :rule reordering :premises (t669))
% 23.33/23.59 (step t671 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) :rule and_neg)
% 23.33/23.59 (step t672 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) :rule implies_neg1)
% 23.33/23.59 (anchor :step t673)
% 23.33/23.59 (assume t673.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 23.33/23.59 (assume t673.a1 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))
% 23.33/23.59 (assume t673.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))
% 23.33/23.59 (assume t673.a3 (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))
% 23.33/23.59 (assume t673.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 23.33/23.59 (assume t673.a5 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 23.33/23.59 (assume t673.a6 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 23.33/23.59 (assume t673.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 23.33/23.59 (assume t673.a8 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 23.33/23.59 (assume t673.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))))
% 23.33/23.59 (assume t673.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))
% 23.33/23.59 (step t673.t1 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule implies_neg1)
% 23.33/23.59 (anchor :step t673.t2)
% 23.33/23.59 (assume t673.t2.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 23.33/23.59 (assume t673.t2.a1 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 23.33/23.59 (assume t673.t2.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))
% 23.33/23.59 (assume t673.t2.a3 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 23.33/23.59 (assume t673.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 23.33/23.59 (assume t673.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))
% 23.33/23.59 (assume t673.t2.a6 (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))
% 23.33/23.59 (assume t673.t2.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))))
% 23.33/23.59 (assume t673.t2.a8 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 23.33/23.59 (assume t673.t2.a9 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))
% 23.33/23.59 (assume t673.t2.a10 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 23.33/23.59 (step t673.t2.t1 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t673.t2.a10))
% 23.33/23.59 (step t673.t2.t2 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule symm :premises (t673.t2.t1))
% 23.33/23.59 (step t673.t2.t3 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 23.33/23.59 (step t673.t2.t4 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t673.t2.a9))
% 23.33/23.59 (step t673.t2.t5 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule symm :premises (t673.t2.t4))
% 23.33/23.59 (step t673.t2.t6 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 23.33/23.59 (step t673.t2.t7 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule cong :premises (t673.t2.a0 t673.t2.t6))
% 23.33/23.59 (step t673.t2.t8 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t673.t2.a8))
% 23.33/23.59 (step t673.t2.t9 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule symm :premises (t673.t2.t8))
% 23.33/23.59 (step t673.t2.t10 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule refl)
% 23.33/23.59 (step t673.t2.t11 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule cong :premises (t673.t2.a1 t673.t2.t10))
% 23.33/23.59 (step t673.t2.t12 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t673.t2.a1))
% 23.33/23.59 (step t673.t2.t13 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6))) :rule cong :premises (t673.t2.a2 t673.t2.t6))
% 23.33/23.59 (step t673.t2.t14 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6))) :rule symm :premises (t673.t2.a7))
% 23.33/23.59 (step t673.t2.t15 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule symm :premises (t673.t2.t14))
% 23.33/23.59 (step t673.t2.t16 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 23.33/23.59 (step t673.t2.t17 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c4)) :rule symm :premises (t673.t2.a6))
% 23.33/23.59 (step t673.t2.t18 (cl (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t673.t2.t17))
% 23.33/23.59 (step t673.t2.t19 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule cong :premises (t673.t2.t18 t673.t2.a2))
% 23.33/23.59 (step t673.t2.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4))) :rule symm :premises (t673.t2.a5))
% 23.33/23.59 (step t673.t2.t21 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t673.t2.a4))
% 23.33/23.59 (step t673.t2.t22 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 23.33/23.59 (step t673.t2.t23 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t673.t2.t21 t673.t2.t22))
% 23.33/23.59 (step t673.t2.t24 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t673.t2.a3))
% 23.33/23.59 (step t673.t2.t25 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c6) tptp.sk_c4)) :rule trans :premises (t673.t2.t19 t673.t2.t20 t673.t2.t23 t673.t2.t24))
% 23.33/23.59 (step t673.t2.t26 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule cong :premises (t673.t2.t16 t673.t2.t25))
% 23.33/23.59 (step t673.t2.t27 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t673.t2.a2))
% 23.33/23.59 (step t673.t2.t28 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) tptp.sk_c6)) :rule trans :premises (t673.t2.t13 t673.t2.t15 t673.t2.t26 t673.t2.t27))
% 23.33/23.59 (step t673.t2.t29 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t673.t2.t12 t673.t2.t28))
% 23.33/23.59 (step t673.t2.t30 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5)) :rule symm :premises (t673.t2.a0))
% 23.33/23.59 (step t673.t2.t31 (cl (= tptp.sk_c7 tptp.sk_c5)) :rule trans :premises (t673.t2.t5 t673.t2.t7 t673.t2.t9 t673.t2.t11 t673.t2.t29 t673.t2.t30))
% 23.33/23.59 (step t673.t2.t32 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule cong :premises (t673.t2.t3 t673.t2.t31))
% 23.33/23.59 (step t673.t2.t33 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule trans :premises (t673.t2.t2 t673.t2.t32))
% 23.33/23.59 (step t673.t2 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule subproof :discharge (t673.t2.a0 t673.t2.a1 t673.t2.a2 t673.t2.a3 t673.t2.a4 t673.t2.a5 t673.t2.a6 t673.t2.a7 t673.t2.a8 t673.t2.a9 t673.t2.a10))
% 23.33/23.59 (step t673.t3 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 23.33/23.59 (step t673.t4 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 23.33/23.59 (step t673.t5 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule and_pos)
% 23.33/23.59 (step t673.t6 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 23.33/23.59 (step t673.t7 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 23.33/23.59 (step t673.t8 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule and_pos)
% 23.33/23.59 (step t673.t9 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 23.33/23.59 (step t673.t10 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.59 (step t673.t11 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.59 (step t673.t12 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule and_pos)
% 23.33/23.59 (step t673.t13 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 23.33/23.59 (step t673.t14 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) :rule resolution :premises (t673.t2 t673.t3 t673.t4 t673.t5 t673.t6 t673.t7 t673.t8 t673.t9 t673.t10 t673.t11 t673.t12 t673.t13))
% 23.33/23.59 (step t673.t15 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule reordering :premises (t673.t14))
% 23.33/23.59 (step t673.t16 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule contraction :premises (t673.t15))
% 23.33/23.59 (step t673.t17 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t673.t1 t673.t16))
% 23.33/23.59 (step t673.t18 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule implies_neg2)
% 23.33/23.59 (step t673.t19 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule resolution :premises (t673.t17 t673.t18))
% 23.33/23.59 (step t673.t20 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule contraction :premises (t673.t19))
% 23.33/23.59 (step t673.t21 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule implies :premises (t673.t20))
% 23.33/23.59 (step t673.t22 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_neg)
% 23.33/23.59 (step t673.t23 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule resolution :premises (t673.t22 t673.a0 t673.a6 t673.a2 t673.a8 t673.a7 t673.a10 t673.a3 t673.a9 t673.a5 t673.a1 t673.a4))
% 23.33/23.59 (step t673.t24 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t673.t21 t673.t23))
% 23.33/23.59 (step t673 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule subproof :discharge (t673.a0 t673.a1 t673.a2 t673.a3 t673.a4 t673.a5 t673.a6 t673.a7 t673.a8 t673.a9 t673.a10))
% 23.33/23.59 (step t674 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 23.33/23.59 (step t675 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule and_pos)
% 23.33/23.59 (step t676 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule and_pos)
% 23.33/23.59 (step t677 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 23.33/23.59 (step t678 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 23.33/23.59 (step t679 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.59 (step t680 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 23.33/23.59 (step t681 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 23.33/23.59 (step t682 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 23.33/23.59 (step t683 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.59 (step t684 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule and_pos)
% 23.33/23.59 (step t685 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))))) :rule resolution :premises (t673 t674 t675 t676 t677 t678 t679 t680 t681 t682 t683 t684))
% 23.33/23.59 (step t686 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule reordering :premises (t685))
% 23.33/23.59 (step t687 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule contraction :premises (t686))
% 23.33/23.59 (step t688 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t672 t687))
% 23.33/23.59 (step t689 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule implies_neg2)
% 23.33/23.59 (step t690 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule resolution :premises (t688 t689))
% 23.33/23.59 (step t691 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule contraction :premises (t690))
% 23.33/23.59 (step t692 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule implies :premises (t691))
% 23.33/23.59 (step t693 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t671 t692))
% 23.33/23.59 (step t694 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) :rule reordering :premises (t693))
% 23.33/23.59 (step t695 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) :rule and_neg)
% 23.33/23.59 (step t696 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) :rule implies_neg1)
% 23.33/23.59 (anchor :step t697)
% 23.33/23.59 (assume t697.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 23.33/23.59 (assume t697.a1 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))
% 23.33/23.59 (assume t697.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))
% 23.33/23.59 (assume t697.a3 (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))
% 23.33/23.59 (assume t697.a4 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 23.33/23.59 (assume t697.a5 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 23.33/23.59 (assume t697.a6 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 23.33/23.59 (assume t697.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 23.33/23.59 (assume t697.a8 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 23.33/23.59 (assume t697.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))))
% 23.33/23.59 (assume t697.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))
% 23.33/23.59 (step t697.t1 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule implies_neg1)
% 23.33/23.59 (anchor :step t697.t2)
% 23.33/23.59 (assume t697.t2.a0 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 23.33/23.59 (assume t697.t2.a1 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))
% 23.33/23.59 (assume t697.t2.a2 (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 23.33/23.59 (assume t697.t2.a3 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 23.33/23.59 (assume t697.t2.a4 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 23.33/23.59 (assume t697.t2.a5 (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))
% 23.33/23.59 (assume t697.t2.a6 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))))
% 23.33/23.59 (assume t697.t2.a7 (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))
% 23.33/23.59 (assume t697.t2.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))
% 23.33/23.59 (assume t697.t2.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 23.33/23.59 (assume t697.t2.a10 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 23.33/23.59 (step t697.t2.t1 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 23.33/23.59 (step t697.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t697.t2.a10))
% 23.33/23.59 (step t697.t2.t3 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule symm :premises (t697.t2.t2))
% 23.33/23.59 (step t697.t2.t4 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t697.t2.a9))
% 23.33/23.59 (step t697.t2.t5 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t697.t2.t4))
% 23.33/23.59 (step t697.t2.t6 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 23.33/23.59 (step t697.t2.t7 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4))) :rule cong :premises (t697.t2.t5 t697.t2.t6))
% 23.33/23.59 (step t697.t2.t8 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4))) :rule symm :premises (t697.t2.a8))
% 23.33/23.59 (step t697.t2.t9 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule symm :premises (t697.t2.t8))
% 23.33/23.59 (step t697.t2.t10 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c4)) :rule symm :premises (t697.t2.a7))
% 23.33/23.59 (step t697.t2.t11 (cl (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t697.t2.t10))
% 23.33/23.59 (step t697.t2.t12 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c4)) :rule symm :premises (t697.t2.t11))
% 23.33/23.59 (step t697.t2.t13 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t697.t2.a5))
% 23.33/23.59 (step t697.t2.t14 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (tptp.multiply tptp.sk_c4 tptp.sk_c6))) :rule cong :premises (t697.t2.t12 t697.t2.t13))
% 23.33/23.59 (step t697.t2.t15 (cl (= tptp.sk_c4 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) :rule trans :premises (t697.t2.t3 t697.t2.t7 t697.t2.t9 t697.t2.t14))
% 23.33/23.59 (step t697.t2.t16 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule cong :premises (t697.t2.t1 t697.t2.t15))
% 23.33/23.59 (step t697.t2.t17 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6))) :rule symm :premises (t697.t2.a6))
% 23.33/23.59 (step t697.t2.t18 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule symm :premises (t697.t2.t17))
% 23.33/23.59 (step t697.t2.t19 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6))) :rule symm :premises (t697.t2.t18))
% 23.33/23.59 (step t697.t2.t20 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 23.33/23.59 (step t697.t2.t21 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule cong :premises (t697.t2.t13 t697.t2.t20))
% 23.33/23.59 (step t697.t2.t22 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule trans :premises (t697.t2.a5 t697.t2.t16 t697.t2.t19 t697.t2.t21))
% 23.33/23.59 (step t697.t2.t23 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule cong :premises (t697.t2.a4 t697.t2.t22))
% 23.33/23.59 (step t697.t2.t24 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t697.t2.a4))
% 23.33/23.59 (step t697.t2.t25 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule refl)
% 23.33/23.59 (step t697.t2.t26 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule cong :premises (t697.t2.t24 t697.t2.t25))
% 23.33/23.59 (step t697.t2.t27 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t697.t2.a3))
% 23.33/23.59 (step t697.t2.t28 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule symm :premises (t697.t2.t27))
% 23.33/23.59 (step t697.t2.t29 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t697.t2.t28))
% 23.33/23.59 (step t697.t2.t30 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5)) :rule symm :premises (t697.t2.a2))
% 23.33/23.59 (step t697.t2.t31 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule cong :premises (t697.t2.t30 t697.t2.t20))
% 23.33/23.59 (step t697.t2.t32 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t697.t2.a1))
% 23.33/23.59 (step t697.t2.t33 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule symm :premises (t697.t2.t32))
% 23.33/23.59 (step t697.t2.t34 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t697.t2.t33))
% 23.33/23.59 (step t697.t2.t35 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t697.t2.a0))
% 23.33/23.59 (step t697.t2.t36 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t697.t2.t35))
% 23.33/23.59 (step t697.t2.t37 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule trans :premises (t697.t2.a2 t697.t2.t23 t697.t2.t26 t697.t2.t29 t697.t2.t31 t697.t2.t34 t697.t2.t36))
% 23.33/23.59 (step t697.t2 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule subproof :discharge (t697.t2.a0 t697.t2.a1 t697.t2.a2 t697.t2.a3 t697.t2.a4 t697.t2.a5 t697.t2.a6 t697.t2.a7 t697.t2.a8 t697.t2.a9 t697.t2.a10))
% 23.33/23.59 (step t697.t3 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 23.33/23.59 (step t697.t4 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule and_pos)
% 23.33/23.59 (step t697.t5 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 23.33/23.59 (step t697.t6 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.59 (step t697.t7 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 23.33/23.59 (step t697.t8 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule and_pos)
% 23.33/23.59 (step t697.t9 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.59 (step t697.t10 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 23.33/23.59 (step t697.t11 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule and_pos)
% 23.33/23.59 (step t697.t12 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= 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_c3) tptp.sk_c3))) :rule and_pos)
% 23.33/23.59 (step t697.t13 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 23.33/23.59 (step t697.t14 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))))) :rule resolution :premises (t697.t2 t697.t3 t697.t4 t697.t5 t697.t6 t697.t7 t697.t8 t697.t9 t697.t10 t697.t11 t697.t12 t697.t13))
% 23.33/23.59 (step t697.t15 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t697.t14))
% 23.33/23.59 (step t697.t16 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t697.t15))
% 23.33/23.59 (step t697.t17 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t697.t1 t697.t16))
% 23.33/23.59 (step t697.t18 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))) :rule implies_neg2)
% 23.33/23.59 (step t697.t19 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t697.t17 t697.t18))
% 23.33/23.59 (step t697.t20 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t697.t19))
% 23.33/23.59 (step t697.t21 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule implies :premises (t697.t20))
% 23.33/23.59 (step t697.t22 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule and_neg)
% 23.33/23.59 (step t697.t23 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule resolution :premises (t697.t22 t697.a4 t697.a1 t697.a0 t697.a5 t697.a6 t697.a2 t697.a9 t697.a3 t697.a10 t697.a7 t697.a8))
% 23.33/23.59 (step t697.t24 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t697.t21 t697.t23))
% 23.33/23.59 (step t697 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule subproof :discharge (t697.a0 t697.a1 t697.a2 t697.a3 t697.a4 t697.a5 t697.a6 t697.a7 t697.a8 t697.a9 t697.a10))
% 23.33/23.59 (step t698 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 23.33/23.59 (step t699 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule and_pos)
% 23.33/23.59 (step t700 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule and_pos)
% 23.33/23.59 (step t701 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 23.33/23.59 (step t702 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 23.33/23.59 (step t703 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.59 (step t704 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 23.33/23.59 (step t705 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 23.33/23.59 (step t706 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 23.33/23.59 (step t707 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.59 (step t708 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule and_pos)
% 23.33/23.59 (step t709 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))))) :rule resolution :premises (t697 t698 t699 t700 t701 t702 t703 t704 t705 t706 t707 t708))
% 23.33/23.59 (step t710 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t709))
% 23.33/23.59 (step t711 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t710))
% 23.33/23.59 (step t712 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t696 t711))
% 23.33/23.59 (step t713 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))) :rule implies_neg2)
% 23.33/23.59 (step t714 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t712 t713))
% 23.33/23.59 (step t715 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t714))
% 23.33/23.59 (step t716 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule implies :premises (t715))
% 23.33/23.59 (step t717 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t695 t716))
% 23.33/23.59 (step t718 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) :rule reordering :premises (t717))
% 23.33/23.59 (step t719 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule resolution :premises (t661 t668 t165 t670 t171 t694 t395 t403 t411 t419 t483 t515 t614 t387 t395 t403 t411 t419 t427 t435 t443 t459 t467 t483 t491 t499 t507 t515 t718 t395 t403 t411 t419 t483 t515 t632 t387 t491 t507))
% 23.33/23.59 (step t720 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t719))
% 23.33/23.59 (step t721 (cl (not (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6))) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule equiv_pos2)
% 23.33/23.59 (step t722 (cl (= (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) :rule all_simplify)
% 23.33/23.59 (step t723 (cl (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) :rule cong :premises (t722 t637))
% 23.33/23.59 (step t724 (cl (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule resolution :premises (t721 t723 a16))
% 23.33/23.59 (step t725 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule or :premises (t724))
% 23.33/23.59 (step t726 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule reordering :premises (t725))
% 23.33/23.59 (step t727 (cl (not (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (= (tptp.inverse tptp.sk_c3) tptp.sk_c4)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))))) (not (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (= (tptp.inverse tptp.sk_c3) tptp.sk_c4))) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))) :rule equiv_pos2)
% 23.33/23.59 (step t728 (cl (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (= (tptp.inverse tptp.sk_c3) tptp.sk_c4)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t722 t649))
% 23.33/23.59 (step t729 (cl (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t727 t728 a17))
% 23.33/23.59 (step t730 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule or :premises (t729))
% 23.33/23.59 (step t731 (cl (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule reordering :premises (t730))
% 23.33/23.59 (step t732 (cl (not (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7))) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule equiv_pos2)
% 23.33/23.59 (step t733 (cl (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t722 t126))
% 23.33/23.59 (step t734 (cl (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule resolution :premises (t732 t733 a15))
% 23.33/23.59 (step t735 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule or :premises (t734))
% 23.33/23.59 (step t736 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule reordering :premises (t735))
% 23.33/23.59 (step t737 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) :rule implies_neg1)
% 23.33/23.59 (anchor :step t738)
% 23.33/23.59 (assume t738.a0 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))))
% 23.33/23.59 (step t738.t1 (cl (or (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))))) :rule forall_inst :args ((:= X3 tptp.sk_c1)))
% 23.33/23.59 (step t738.t2 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) :rule or :premises (t738.t1))
% 23.33/23.59 (step t738.t3 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t738.t2 t738.a0))
% 23.33/23.59 (step t738 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) :rule subproof :discharge (t738.a0))
% 23.33/23.59 (step t739 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t737 t738))
% 23.33/23.59 (step t740 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))))) :rule implies_neg2)
% 23.33/23.59 (step t741 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t739 t740))
% 23.33/23.59 (step t742 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))))) :rule contraction :premises (t741))
% 23.33/23.59 (step t743 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) :rule implies :premises (t742))
% 23.33/23.59 (step t744 (cl (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule or_pos)
% 23.33/23.59 (step t745 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))))) :rule reordering :premises (t744))
% 23.33/23.59 (step t746 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t720 t726 t731 t736 t743 t745))
% 23.33/23.59 (step t747 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule contraction :premises (t746))
% 23.33/23.59 (step t748 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5)))))) :rule or :premises (t143))
% 23.33/23.59 (step t749 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) :rule and_neg)
% 23.33/23.59 (step t750 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) :rule implies_neg1)
% 23.33/23.59 (anchor :step t751)
% 23.33/23.59 (assume t751.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 23.33/23.59 (assume t751.a1 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))
% 23.33/23.59 (assume t751.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))
% 23.33/23.59 (assume t751.a3 (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))
% 23.33/23.59 (assume t751.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))
% 23.33/23.59 (assume t751.a5 (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))
% 23.33/23.59 (assume t751.a6 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 23.33/23.59 (assume t751.a7 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 23.33/23.59 (assume t751.a8 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))
% 23.33/23.59 (assume t751.a9 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))))
% 23.33/23.59 (assume t751.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 23.33/23.59 (assume t751.a11 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 23.33/23.59 (assume t751.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))))
% 23.33/23.59 (assume t751.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))
% 23.33/23.59 (assume t751.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))
% 23.33/23.59 (assume t751.a15 (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.59 (assume t751.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))))
% 23.33/23.59 (assume t751.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))
% 23.33/23.59 (assume t751.a18 (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))
% 23.33/23.59 (assume t751.a19 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.59 (assume t751.a20 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))
% 23.33/23.59 (assume t751.a21 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 23.33/23.59 (assume t751.a22 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 23.33/23.59 (assume t751.a23 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))))
% 23.33/23.59 (assume t751.a24 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))
% 23.33/23.59 (assume t751.a25 (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))))
% 23.33/23.59 (assume t751.a26 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))
% 23.33/23.59 (step t751.t1 (cl (=> (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) :rule implies_neg1)
% 23.33/23.59 (anchor :step t751.t2)
% 23.33/23.59 (assume t751.t2.a0 (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))
% 23.33/23.59 (assume t751.t2.a1 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.59 (assume t751.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 23.33/23.59 (assume t751.t2.a3 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))
% 23.33/23.59 (assume t751.t2.a4 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))
% 23.33/23.59 (assume t751.t2.a5 (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 23.33/23.59 (assume t751.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))
% 23.33/23.59 (assume t751.t2.a7 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))))
% 23.33/23.59 (assume t751.t2.a8 (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.59 (assume t751.t2.a9 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))
% 23.33/23.59 (assume t751.t2.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))
% 23.33/23.59 (assume t751.t2.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))
% 23.33/23.59 (assume t751.t2.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 23.33/23.59 (assume t751.t2.a13 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))
% 23.33/23.59 (assume t751.t2.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))
% 23.33/23.59 (assume t751.t2.a15 (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))))
% 23.33/23.59 (assume t751.t2.a16 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 23.33/23.59 (assume t751.t2.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))))
% 23.33/23.59 (assume t751.t2.a18 (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))
% 23.33/23.59 (assume t751.t2.a19 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))))
% 23.33/23.59 (assume t751.t2.a20 (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))
% 23.33/23.59 (assume t751.t2.a21 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))
% 23.33/23.59 (assume t751.t2.a22 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 23.33/23.59 (assume t751.t2.a23 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 23.33/23.59 (assume t751.t2.a24 (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))))
% 23.33/23.59 (assume t751.t2.a25 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 23.33/23.59 (assume t751.t2.a26 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))
% 23.33/23.59 (step t751.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t751.t2.a25))
% 23.33/23.59 (step t751.t2.t2 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t751.t2.t1))
% 23.33/23.59 (step t751.t2.t3 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 23.33/23.59 (step t751.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6))) :rule cong :premises (t751.t2.a2 t751.t2.t3))
% 23.33/23.59 (step t751.t2.t5 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6))) :rule symm :premises (t751.t2.a26))
% 23.33/23.59 (step t751.t2.t6 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule symm :premises (t751.t2.t5))
% 23.33/23.59 (step t751.t2.t7 (cl (= (tptp.inverse tptp.sk_c2) (tptp.inverse tptp.sk_c2))) :rule refl)
% 23.33/23.59 (step t751.t2.t8 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 23.33/23.59 (step t751.t2.t9 (cl (= (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule refl)
% 23.33/23.59 (step t751.t2.t10 (cl (= (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule symm :premises (t751.t2.a8))
% 23.33/23.59 (step t751.t2.t11 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule symm :premises (t751.t2.t10))
% 23.33/23.59 (step t751.t2.t12 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.identity)) :rule symm :premises (t751.t2.a7))
% 23.33/23.59 (step t751.t2.t13 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule symm :premises (t751.t2.t12))
% 23.33/23.59 (step t751.t2.t14 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule refl)
% 23.33/23.59 (step t751.t2.t15 (cl (= (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t751.t2.t13 t751.t2.t14))
% 23.33/23.59 (step t751.t2.t16 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule symm :premises (t751.t2.a6))
% 23.33/23.59 (step t751.t2.t17 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule symm :premises (t751.t2.t16))
% 23.33/23.59 (step t751.t2.t18 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t751.t2.a4))
% 23.33/23.59 (step t751.t2.t19 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t751.t2.t18 t751.t2.t14))
% 23.33/23.59 (step t751.t2.t20 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5)) :rule symm :premises (t751.t2.a5))
% 23.33/23.59 (step t751.t2.t21 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule cong :premises (t751.t2.t20 t751.t2.t3))
% 23.33/23.59 (step t751.t2.t22 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) tptp.sk_c7)) :rule trans :premises (t751.t2.t21 t751.t2.t18))
% 23.33/23.59 (step t751.t2.t23 (cl (= tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t751.t2.t22))
% 23.33/23.59 (step t751.t2.t24 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t751.t2.t21))
% 23.33/23.59 (step t751.t2.t25 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule cong :premises (t751.t2.t24))
% 23.33/23.59 (step t751.t2.t26 (cl (= (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.inverse tptp.sk_c7))) :rule cong :premises (t751.t2.t22))
% 23.33/23.59 (step t751.t2.t27 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c7))) :rule trans :premises (t751.t2.t25 t751.t2.t26))
% 23.33/23.59 (step t751.t2.t28 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.inverse tptp.sk_c7)))) :rule cong :premises (t751.t2.t23 t751.t2.t27))
% 23.33/23.59 (step t751.t2.t29 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 23.33/23.59 (step t751.t2.t30 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule cong :premises (t751.t2.t22 t751.t2.t29))
% 23.33/23.59 (step t751.t2.t31 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule trans :premises (t751.t2.t19 t751.t2.t28 t751.t2.t30))
% 23.33/23.59 (step t751.t2.t32 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule cong :premises (t751.t2.t14 t751.t2.t31))
% 23.33/23.59 (step t751.t2.t33 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule trans :premises (t751.t2.t11 t751.t2.t15 t751.t2.t17 t751.t2.t32))
% 23.33/23.59 (step t751.t2.t34 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule cong :premises (t751.t2.t9 t751.t2.t33))
% 23.33/23.59 (step t751.t2.t35 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule symm :premises (t751.t2.a3))
% 23.33/23.59 (step t751.t2.t36 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.identity)) :rule symm :premises (t751.t2.a1))
% 23.33/23.59 (step t751.t2.t37 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule refl)
% 23.33/23.59 (step t751.t2.t38 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule cong :premises (t751.t2.t36 t751.t2.t37))
% 23.33/23.59 (step t751.t2.t39 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule symm :premises (t751.t2.a0))
% 23.33/23.59 (step t751.t2.t40 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule trans :premises (t751.t2.a1 t751.t2.t34 t751.t2.t35 t751.t2.t38 t751.t2.t39))
% 23.33/23.59 (step t751.t2.t41 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) :rule cong :premises (t751.t2.t40 t751.t2.t3))
% 23.33/23.59 (step t751.t2.t42 (cl (= tptp.sk_c6 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) :rule trans :premises (t751.t2.t2 t751.t2.t41))
% 23.33/23.59 (step t751.t2.t43 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6)))) :rule cong :premises (t751.t2.t8 t751.t2.t42))
% 23.33/23.59 (step t751.t2.t44 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6))) :rule symm :premises (t751.t2.a24))
% 23.33/23.59 (step t751.t2.t45 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule cong :premises (t751.t2.t25 t751.t2.t23))
% 23.33/23.59 (step t751.t2.t46 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) tptp.identity)) :rule symm :premises (t751.t2.a9))
% 23.33/23.59 (step t751.t2.t47 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule trans :premises (t751.t2.t45 t751.t2.t46 t751.t2.a1 t751.t2.t34 t751.t2.t35 t751.t2.t38 t751.t2.t39))
% 23.33/23.59 (step t751.t2.t48 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) :rule symm :premises (t751.t2.t47))
% 23.33/23.59 (step t751.t2.t49 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) :rule cong :premises (t751.t2.t8 t751.t2.t48))
% 23.33/23.59 (step t751.t2.t50 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7))) :rule symm :premises (t751.t2.a11))
% 23.33/23.59 (step t751.t2.t51 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2))) :rule symm :premises (t751.t2.a17))
% 23.33/23.59 (step t751.t2.t52 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c2))) :rule cong :premises (t751.t2.t12 t751.t2.t8))
% 23.33/23.59 (step t751.t2.t53 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t751.t2.a16))
% 23.33/23.59 (step t751.t2.t54 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)) tptp.sk_c2)) :rule trans :premises (t751.t2.t51 t751.t2.t52 t751.t2.t53))
% 23.33/23.59 (step t751.t2.t55 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t751.t2.t54 t751.t2.t14))
% 23.33/23.59 (step t751.t2.t56 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 23.33/23.59 (step t751.t2.t57 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7))) :rule cong :premises (t751.t2.t55 t751.t2.t56))
% 23.33/23.59 (step t751.t2.t58 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7))) :rule symm :premises (t751.t2.t57))
% 23.33/23.59 (step t751.t2.t59 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7))) :rule trans :premises (t751.t2.t49 t751.t2.t50 t751.t2.t58))
% 23.33/23.59 (step t751.t2.t60 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7))) :rule trans :premises (t751.t2.t59 t751.t2.t57))
% 23.33/23.59 (step t751.t2.t61 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 23.33/23.59 (step t751.t2.t62 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t751.t2.a23))
% 23.33/23.59 (step t751.t2.t63 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule symm :premises (t751.t2.t62))
% 23.33/23.59 (step t751.t2.t64 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t751.t2.a22))
% 23.33/23.59 (step t751.t2.t65 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t751.t2.t64))
% 23.33/23.59 (step t751.t2.t66 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 23.33/23.59 (step t751.t2.t67 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4))) :rule cong :premises (t751.t2.t65 t751.t2.t66))
% 23.33/23.59 (step t751.t2.t68 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4))) :rule symm :premises (t751.t2.a21))
% 23.33/23.59 (step t751.t2.t69 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule symm :premises (t751.t2.t68))
% 23.33/23.59 (step t751.t2.t70 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c4)) :rule symm :premises (t751.t2.a20))
% 23.33/23.59 (step t751.t2.t71 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t751.t2.a18))
% 23.33/23.59 (step t751.t2.t72 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (tptp.multiply tptp.sk_c4 tptp.sk_c6))) :rule cong :premises (t751.t2.t70 t751.t2.t71))
% 23.33/23.59 (step t751.t2.t73 (cl (= tptp.sk_c4 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) :rule trans :premises (t751.t2.t63 t751.t2.t67 t751.t2.t69 t751.t2.t72))
% 23.33/23.59 (step t751.t2.t74 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule cong :premises (t751.t2.t61 t751.t2.t73))
% 23.33/23.59 (step t751.t2.t75 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6))) :rule symm :premises (t751.t2.a19))
% 23.33/23.59 (step t751.t2.t76 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule cong :premises (t751.t2.t71 t751.t2.t3))
% 23.33/23.59 (step t751.t2.t77 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t751.t2.a13))
% 23.33/23.59 (step t751.t2.t78 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule cong :premises (t751.t2.t77 t751.t2.t3))
% 23.33/23.59 (step t751.t2.t79 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6))) :rule symm :premises (t751.t2.t78))
% 23.33/23.59 (step t751.t2.t80 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule cong :premises (t751.t2.t8 t751.t2.t21))
% 23.33/23.59 (step t751.t2.t81 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule symm :premises (t751.t2.t80))
% 23.33/23.59 (step t751.t2.t82 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule trans :premises (t751.t2.a18 t751.t2.t74 t751.t2.t75 t751.t2.t76 t751.t2.t79 t751.t2.a14 t751.t2.t81))
% 23.33/23.59 (step t751.t2.t83 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) :rule cong :premises (t751.t2.t60 t751.t2.t82))
% 23.33/23.59 (step t751.t2.t84 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) :rule symm :premises (t751.t2.a15))
% 23.33/23.59 (step t751.t2.t85 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))))) :rule symm :premises (t751.t2.t84))
% 23.33/23.59 (step t751.t2.t86 (cl (= (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule refl)
% 23.33/23.59 (step t751.t2.t87 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6))) :rule symm :premises (t751.t2.a14))
% 23.33/23.59 (step t751.t2.t88 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule trans :premises (t751.t2.t80 t751.t2.t87 t751.t2.t78))
% 23.33/23.59 (step t751.t2.t89 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule cong :premises (t751.t2.t56 t751.t2.t88))
% 23.33/23.59 (step t751.t2.t90 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t751.t2.a12))
% 23.33/23.59 (step t751.t2.t91 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) tptp.sk_c7)) :rule trans :premises (t751.t2.t89 t751.t2.t90 t751.t2.t21 t751.t2.t18))
% 23.33/23.59 (step t751.t2.t92 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7))) :rule cong :premises (t751.t2.t86 t751.t2.t91))
% 23.33/23.59 (step t751.t2.t93 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) :rule symm :premises (t751.t2.t50))
% 23.33/23.59 (step t751.t2.t94 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) :rule trans :premises (t751.t2.t43 t751.t2.t44 t751.t2.t83 t751.t2.t85 t751.t2.t92 t751.t2.t93))
% 23.33/23.59 (step t751.t2.t95 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule cong :premises (t751.t2.t7 t751.t2.t94))
% 23.33/23.59 (step t751.t2.t96 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) :rule symm :premises (t751.t2.a10))
% 23.33/23.59 (step t751.t2.t97 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t751.t2.a2))
% 23.33/23.59 (step t751.t2.t98 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule trans :premises (t751.t2.t97 t751.t2.a1))
% 23.33/23.59 (step t751.t2.t99 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule cong :premises (t751.t2.t98 t751.t2.t47))
% 23.33/23.59 (step t751.t2.t100 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule trans :premises (t751.t2.t2 t751.t2.t4 t751.t2.t6 t751.t2.t95 t751.t2.t96 t751.t2.t99 t751.t2.t38 t751.t2.t39))
% 23.33/23.59 (step t751.t2 (cl (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (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.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule subproof :discharge (t751.t2.a0 t751.t2.a1 t751.t2.a2 t751.t2.a3 t751.t2.a4 t751.t2.a5 t751.t2.a6 t751.t2.a7 t751.t2.a8 t751.t2.a9 t751.t2.a10 t751.t2.a11 t751.t2.a12 t751.t2.a13 t751.t2.a14 t751.t2.a15 t751.t2.a16 t751.t2.a17 t751.t2.a18 t751.t2.a19 t751.t2.a20 t751.t2.a21 t751.t2.a22 t751.t2.a23 t751.t2.a24 t751.t2.a25 t751.t2.a26))
% 23.33/23.59 (step t751.t3 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule and_pos)
% 23.33/23.59 (step t751.t4 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule and_pos)
% 23.33/23.59 (step t751.t5 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 23.33/23.59 (step t751.t6 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule and_pos)
% 23.33/23.59 (step t751.t7 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule and_pos)
% 23.33/23.59 (step t751.t8 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 23.33/23.59 (step t751.t9 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule and_pos)
% 23.33/23.59 (step t751.t10 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.59 (step t751.t11 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule and_pos)
% 23.33/23.59 (step t751.t12 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule and_pos)
% 23.33/23.59 (step t751.t13 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule and_pos)
% 23.33/23.59 (step t751.t14 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) :rule and_pos)
% 23.33/23.59 (step t751.t15 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.59 (step t751.t16 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule and_pos)
% 23.33/23.59 (step t751.t17 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.59 (step t751.t18 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))))) :rule and_pos)
% 23.33/23.59 (step t751.t19 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 23.33/23.59 (step t751.t20 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) :rule and_pos)
% 23.33/23.59 (step t751.t21 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule and_pos)
% 23.33/23.59 (step t751.t22 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.59 (step t751.t23 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 23.33/23.59 (step t751.t24 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule and_pos)
% 23.33/23.59 (step t751.t25 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 23.33/23.59 (step t751.t26 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 23.33/23.59 (step t751.t27 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6)))) :rule and_pos)
% 23.33/23.59 (step t751.t28 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 23.33/23.59 (step t751.t29 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.59 (step t751.t30 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))))) :rule resolution :premises (t751.t2 t751.t3 t751.t4 t751.t5 t751.t6 t751.t7 t751.t8 t751.t9 t751.t10 t751.t11 t751.t12 t751.t13 t751.t14 t751.t15 t751.t16 t751.t17 t751.t18 t751.t19 t751.t20 t751.t21 t751.t22 t751.t23 t751.t24 t751.t25 t751.t26 t751.t27 t751.t28 t751.t29))
% 23.33/23.59 (step t751.t31 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule reordering :premises (t751.t30))
% 23.33/23.60 (step t751.t32 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule contraction :premises (t751.t31))
% 23.33/23.60 (step t751.t33 (cl (=> (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule resolution :premises (t751.t1 t751.t32))
% 23.33/23.60 (step t751.t34 (cl (=> (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule implies_neg2)
% 23.33/23.60 (step t751.t35 (cl (=> (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (=> (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule resolution :premises (t751.t33 t751.t34))
% 23.33/23.60 (step t751.t36 (cl (=> (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule contraction :premises (t751.t35))
% 23.33/23.60 (step t751.t37 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule implies :premises (t751.t36))
% 23.33/23.60 (step t751.t38 (cl (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (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.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) :rule and_neg)
% 23.33/23.60 (step t751.t39 (cl (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) :rule resolution :premises (t751.t38 t751.a18 t751.a19 t751.a10 t751.a20 t751.a1 t751.a0 t751.a17 t751.a9 t751.a15 t751.a8 t751.a26 t751.a14 t751.a6 t751.a4 t751.a5 t751.a25 t751.a11 t751.a12 t751.a2 t751.a23 t751.a3 t751.a24 t751.a21 t751.a22 t751.a16 t751.a7 t751.a13))
% 23.33/23.60 (step t751.t40 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule resolution :premises (t751.t37 t751.t39))
% 23.33/23.60 (step t751 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule subproof :discharge (t751.a0 t751.a1 t751.a2 t751.a3 t751.a4 t751.a5 t751.a6 t751.a7 t751.a8 t751.a9 t751.a10 t751.a11 t751.a12 t751.a13 t751.a14 t751.a15 t751.a16 t751.a17 t751.a18 t751.a19 t751.a20 t751.a21 t751.a22 t751.a23 t751.a24 t751.a25 t751.a26))
% 23.33/23.60 (step t752 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 23.33/23.60 (step t753 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule and_pos)
% 23.33/23.60 (step t754 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule and_pos)
% 23.33/23.60 (step t755 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 23.33/23.60 (step t756 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule and_pos)
% 23.33/23.60 (step t757 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.60 (step t758 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.60 (step t759 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 23.33/23.60 (step t760 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule and_pos)
% 23.33/23.60 (step t761 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.60 (step t762 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 23.33/23.60 (step t763 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 23.33/23.60 (step t764 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) :rule and_pos)
% 23.33/23.60 (step t765 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.60 (step t766 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) :rule and_pos)
% 23.33/23.60 (step t767 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule and_pos)
% 23.33/23.60 (step t768 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6)))) :rule and_pos)
% 23.33/23.60 (step t769 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule and_pos)
% 23.33/23.60 (step t770 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule and_pos)
% 23.33/23.60 (step t771 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule and_pos)
% 23.33/23.60 (step t772 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule and_pos)
% 23.33/23.60 (step t773 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 23.33/23.60 (step t774 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 23.33/23.60 (step t775 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.60 (step t776 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule and_pos)
% 23.33/23.60 (step t777 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))))) :rule and_pos)
% 23.33/23.60 (step t778 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule and_pos)
% 23.33/23.60 (step t779 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))))) :rule resolution :premises (t751 t752 t753 t754 t755 t756 t757 t758 t759 t760 t761 t762 t763 t764 t765 t766 t767 t768 t769 t770 t771 t772 t773 t774 t775 t776 t777 t778))
% 23.33/23.60 (step t780 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule reordering :premises (t779))
% 23.33/23.60 (step t781 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule contraction :premises (t780))
% 23.33/23.60 (step t782 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule resolution :premises (t750 t781))
% 23.33/23.60 (step t783 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule implies_neg2)
% 23.33/23.60 (step t784 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule resolution :premises (t782 t783))
% 23.33/23.60 (step t785 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule contraction :premises (t784))
% 23.33/23.60 (step t786 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule implies :premises (t785))
% 23.33/23.60 (step t787 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule resolution :premises (t749 t786))
% 23.33/23.60 (step t788 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) :rule reordering :premises (t787))
% 23.33/23.60 (step t789 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 23.33/23.60 (anchor :step t790)
% 23.33/23.60 (assume t790.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 23.33/23.60 (step t790.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c2)) (:= Y tptp.sk_c2) (:= Z (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))
% 23.33/23.60 (step t790.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule or :premises (t790.t1))
% 23.33/23.60 (step t790.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule resolution :premises (t790.t2 t790.a0))
% 23.33/23.60 (step t790 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule subproof :discharge (t790.a0))
% 23.33/23.60 (step t791 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule resolution :premises (t789 t790))
% 23.33/23.60 (step t792 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) :rule implies_neg2)
% 23.33/23.60 (step t793 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) :rule resolution :premises (t791 t792))
% 23.33/23.60 (step t794 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) :rule contraction :premises (t793))
% 23.33/23.60 (step t795 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule implies :premises (t794))
% 23.33/23.60 (step t796 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule resolution :premises (t795 a2))
% 23.33/23.60 (step t797 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 23.33/23.60 (anchor :step t798)
% 23.33/23.60 (assume t798.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 23.33/23.60 (step t798.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))))) :rule forall_inst :args ((:= X (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (:= Y tptp.sk_c7) (:= Z (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))))
% 23.33/23.60 (step t798.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))))) :rule or :premises (t798.t1))
% 23.33/23.60 (step t798.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))))) :rule resolution :premises (t798.t2 t798.a0))
% 23.33/23.60 (step t798 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))))) :rule subproof :discharge (t798.a0))
% 23.33/23.60 (step t799 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))))) :rule resolution :premises (t797 t798))
% 23.33/23.60 (step t800 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))))) :rule implies_neg2)
% 23.33/23.60 (step t801 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))))) :rule resolution :premises (t799 t800))
% 23.33/23.60 (step t802 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))))) :rule contraction :premises (t801))
% 23.33/23.60 (step t803 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))))) :rule implies :premises (t802))
% 23.33/23.60 (step t804 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))))) :rule resolution :premises (t803 a2))
% 23.33/23.60 (step t805 (cl (=> (forall ((X $$unsorted) (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.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 23.33/23.60 (anchor :step t806)
% 23.33/23.60 (assume t806.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 23.33/23.60 (step t806.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))))) :rule forall_inst :args ((:= X tptp.sk_c2) (:= Y (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (:= Z tptp.sk_c6)))
% 23.33/23.60 (step t806.t2 (cl (not (forall ((X $$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.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6)))) :rule or :premises (t806.t1))
% 23.33/23.60 (step t806.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6)))) :rule resolution :premises (t806.t2 t806.a0))
% 23.33/23.60 (step t806 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6)))) :rule subproof :discharge (t806.a0))
% 23.33/23.60 (step t807 (cl (=> (forall ((X $$unsorted) (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.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6)))) :rule resolution :premises (t805 t806))
% 23.33/23.60 (step t808 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))))) :rule implies_neg2)
% 23.33/23.60 (step t809 (cl (=> (forall ((X $$unsorted) (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.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))))) :rule resolution :premises (t807 t808))
% 23.33/23.60 (step t810 (cl (=> (forall ((X $$unsorted) (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.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))))) :rule contraction :premises (t809))
% 23.33/23.60 (step t811 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6)))) :rule implies :premises (t810))
% 23.33/23.60 (step t812 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6)))) :rule resolution :premises (t811 a2))
% 23.33/23.60 (step t813 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 23.33/23.60 (anchor :step t814)
% 23.33/23.60 (assume t814.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 23.33/23.60 (step t814.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule forall_inst :args ((:= X tptp.sk_c2) (:= Y (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (:= Z tptp.sk_c7)))
% 23.33/23.60 (step t814.t2 (cl (not (forall ((X $$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.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) :rule or :premises (t814.t1))
% 23.33/23.60 (step t814.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) :rule resolution :premises (t814.t2 t814.a0))
% 23.33/23.60 (step t814 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) :rule subproof :discharge (t814.a0))
% 23.33/23.60 (step t815 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) :rule resolution :premises (t813 t814))
% 23.33/23.60 (step t816 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule implies_neg2)
% 23.33/23.60 (step t817 (cl (=> (forall ((X $$unsorted) (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.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule resolution :premises (t815 t816))
% 23.33/23.60 (step t818 (cl (=> (forall ((X $$unsorted) (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.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule contraction :premises (t817))
% 23.33/23.60 (step t819 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) :rule implies :premises (t818))
% 23.33/23.60 (step t820 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) :rule resolution :premises (t819 a2))
% 23.33/23.60 (step t821 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 23.33/23.60 (anchor :step t822)
% 23.33/23.60 (assume t822.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 23.33/23.60 (step t822.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c2)) (:= Y tptp.sk_c2) (:= Z tptp.sk_c6)))
% 23.33/23.60 (step t822.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule or :premises (t822.t1))
% 23.33/23.60 (step t822.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule resolution :premises (t822.t2 t822.a0))
% 23.33/23.60 (step t822 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule subproof :discharge (t822.a0))
% 23.33/23.60 (step t823 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule resolution :premises (t821 t822))
% 23.33/23.60 (step t824 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) :rule implies_neg2)
% 23.33/23.60 (step t825 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) :rule resolution :premises (t823 t824))
% 23.33/23.60 (step t826 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) :rule contraction :premises (t825))
% 23.33/23.60 (step t827 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule implies :premises (t826))
% 23.33/23.60 (step t828 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule resolution :premises (t827 a2))
% 23.33/23.60 (step t829 (cl (=> (forall ((X $$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.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 23.33/23.60 (anchor :step t830)
% 23.33/23.60 (assume t830.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 23.33/23.60 (step t830.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))))) :rule forall_inst :args ((:= X (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (:= Y (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (:= Z tptp.sk_c2)))
% 23.33/23.60 (step t830.t2 (cl (not (forall ((X $$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.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) :rule or :premises (t830.t1))
% 23.33/23.60 (step t830.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) :rule resolution :premises (t830.t2 t830.a0))
% 23.33/23.60 (step t830 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) :rule subproof :discharge (t830.a0))
% 23.33/23.60 (step t831 (cl (=> (forall ((X $$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.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) :rule resolution :premises (t829 t830))
% 23.33/23.60 (step t832 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))))) :rule implies_neg2)
% 23.33/23.60 (step t833 (cl (=> (forall ((X $$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.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))))) :rule resolution :premises (t831 t832))
% 23.33/23.60 (step t834 (cl (=> (forall ((X $$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.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))))) :rule contraction :premises (t833))
% 23.33/23.60 (step t835 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) :rule implies :premises (t834))
% 23.33/23.60 (step t836 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) :rule resolution :premises (t835 a2))
% 23.33/23.60 (step t837 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 23.33/23.60 (anchor :step t838)
% 23.33/23.60 (assume t838.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 23.33/23.60 (step t838.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule forall_inst :args ((:= X tptp.sk_c2)))
% 23.33/23.60 (step t838.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule or :premises (t838.t1))
% 23.33/23.60 (step t838.t3 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule resolution :premises (t838.t2 t838.a0))
% 23.33/23.60 (step t838 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule subproof :discharge (t838.a0))
% 23.33/23.60 (step t839 (cl (=> (forall ((X $$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 (t837 t838))
% 23.33/23.60 (step t840 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule implies_neg2)
% 23.33/23.60 (step t841 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule resolution :premises (t839 t840))
% 23.33/23.60 (step t842 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule contraction :premises (t841))
% 23.33/23.60 (step t843 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule implies :premises (t842))
% 23.33/23.60 (step t844 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule resolution :premises (t843 t362))
% 23.33/23.60 (step t845 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 23.33/23.60 (anchor :step t846)
% 23.33/23.60 (assume t846.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 23.33/23.60 (step t846.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule forall_inst :args ((:= X tptp.sk_c2)))
% 23.33/23.60 (step t846.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule or :premises (t846.t1))
% 23.33/23.60 (step t846.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule resolution :premises (t846.t2 t846.a0))
% 23.33/23.60 (step t846 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule subproof :discharge (t846.a0))
% 23.33/23.60 (step t847 (cl (=> (forall ((X $$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 (t845 t846))
% 23.33/23.60 (step t848 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule implies_neg2)
% 23.33/23.60 (step t849 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule resolution :premises (t847 t848))
% 23.33/23.60 (step t850 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule contraction :premises (t849))
% 23.33/23.60 (step t851 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule implies :premises (t850))
% 23.33/23.60 (step t852 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule resolution :premises (t851 t335))
% 23.33/23.60 (step t853 (cl (=> (forall ((X $$unsorted) (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_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 23.33/23.60 (anchor :step t854)
% 23.33/23.60 (assume t854.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 23.33/23.60 (step t854.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule forall_inst :args ((:= X tptp.sk_c2) (:= Y tptp.sk_c5) (:= Z tptp.sk_c6)))
% 23.33/23.60 (step t854.t2 (cl (not (forall ((X $$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_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule or :premises (t854.t1))
% 23.33/23.60 (step t854.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule resolution :premises (t854.t2 t854.a0))
% 23.33/23.60 (step t854 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule subproof :discharge (t854.a0))
% 23.33/23.60 (step t855 (cl (=> (forall ((X $$unsorted) (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_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule resolution :premises (t853 t854))
% 23.33/23.60 (step t856 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule implies_neg2)
% 23.33/23.60 (step t857 (cl (=> (forall ((X $$unsorted) (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_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule resolution :premises (t855 t856))
% 23.33/23.60 (step t858 (cl (=> (forall ((X $$unsorted) (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_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule contraction :premises (t857))
% 23.33/23.60 (step t859 (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_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule implies :premises (t858))
% 23.33/23.60 (step t860 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule resolution :premises (t859 a2))
% 23.33/23.60 (step t861 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) :rule implies_neg1)
% 23.33/23.60 (anchor :step t862)
% 23.33/23.60 (assume t862.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 23.33/23.60 (assume t862.a1 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))
% 23.33/23.60 (assume t862.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))
% 23.33/23.60 (assume t862.a3 (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))
% 23.33/23.60 (assume t862.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))
% 23.33/23.60 (assume t862.a5 (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))
% 23.33/23.60 (assume t862.a6 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 23.33/23.60 (assume t862.a7 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 23.33/23.60 (assume t862.a8 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))
% 23.33/23.60 (assume t862.a9 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))))
% 23.33/23.60 (assume t862.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 23.33/23.60 (assume t862.a11 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 23.33/23.60 (assume t862.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))))
% 23.33/23.60 (assume t862.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))
% 23.33/23.60 (assume t862.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))
% 23.33/23.60 (assume t862.a15 (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.60 (assume t862.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))))
% 23.33/23.60 (assume t862.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))
% 23.33/23.60 (assume t862.a18 (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))
% 23.33/23.60 (assume t862.a19 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.60 (assume t862.a20 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))
% 23.33/23.60 (assume t862.a21 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 23.33/23.60 (assume t862.a22 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 23.33/23.60 (assume t862.a23 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))))
% 23.33/23.60 (assume t862.a24 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))
% 23.33/23.60 (assume t862.a25 (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))))
% 23.33/23.60 (assume t862.a26 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))
% 23.33/23.60 (step t862.t1 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) :rule implies_neg1)
% 23.33/23.60 (anchor :step t862.t2)
% 23.33/23.60 (assume t862.t2.a0 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))
% 23.33/23.60 (assume t862.t2.a1 (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 23.33/23.60 (assume t862.t2.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))
% 23.33/23.60 (assume t862.t2.a3 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 23.33/23.60 (assume t862.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 23.33/23.60 (assume t862.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))
% 23.33/23.60 (assume t862.t2.a6 (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))
% 23.33/23.60 (assume t862.t2.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))))
% 23.33/23.60 (assume t862.t2.a8 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))
% 23.33/23.60 (assume t862.t2.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))
% 23.33/23.60 (assume t862.t2.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 23.33/23.60 (assume t862.t2.a11 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))
% 23.33/23.60 (assume t862.t2.a12 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.60 (assume t862.t2.a13 (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.60 (assume t862.t2.a14 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))))
% 23.33/23.60 (assume t862.t2.a15 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))
% 23.33/23.60 (assume t862.t2.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))
% 23.33/23.60 (assume t862.t2.a17 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 23.33/23.60 (assume t862.t2.a18 (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))
% 23.33/23.60 (assume t862.t2.a19 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))
% 23.33/23.60 (assume t862.t2.a20 (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))
% 23.33/23.60 (assume t862.t2.a21 (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))))
% 23.33/23.60 (assume t862.t2.a22 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 23.33/23.60 (assume t862.t2.a23 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))))
% 23.33/23.60 (assume t862.t2.a24 (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))))
% 23.33/23.60 (assume t862.t2.a25 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 23.33/23.60 (assume t862.t2.a26 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))
% 23.33/23.60 (step t862.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t862.t2.a25))
% 23.33/23.60 (step t862.t2.t2 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t862.t2.t1))
% 23.33/23.60 (step t862.t2.t3 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 23.33/23.60 (step t862.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6))) :rule cong :premises (t862.t2.a17 t862.t2.t3))
% 23.33/23.60 (step t862.t2.t5 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6))) :rule symm :premises (t862.t2.a26))
% 23.33/23.60 (step t862.t2.t6 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule symm :premises (t862.t2.t5))
% 23.33/23.60 (step t862.t2.t7 (cl (= (tptp.inverse tptp.sk_c2) (tptp.inverse tptp.sk_c2))) :rule refl)
% 23.33/23.60 (step t862.t2.t8 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 23.33/23.60 (step t862.t2.t9 (cl (= (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule refl)
% 23.33/23.60 (step t862.t2.t10 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule refl)
% 23.33/23.60 (step t862.t2.t11 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t862.t2.a0))
% 23.33/23.60 (step t862.t2.t12 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule symm :premises (t862.t2.t11))
% 23.33/23.60 (step t862.t2.t13 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5)) :rule symm :premises (t862.t2.a1))
% 23.33/23.60 (step t862.t2.t14 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule cong :premises (t862.t2.t13 t862.t2.t3))
% 23.33/23.60 (step t862.t2.t15 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t862.t2.t14))
% 23.33/23.60 (step t862.t2.t16 (cl (= tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule trans :premises (t862.t2.t12 t862.t2.t15))
% 23.33/23.60 (step t862.t2.t17 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 23.33/23.60 (step t862.t2.t18 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.inverse tptp.sk_c7)))) :rule cong :premises (t862.t2.t16 t862.t2.t17))
% 23.33/23.60 (step t862.t2.t19 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t862.t2.t16))
% 23.33/23.60 (step t862.t2.t20 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule cong :premises (t862.t2.t15))
% 23.33/23.60 (step t862.t2.t21 (cl (= (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.inverse tptp.sk_c7))) :rule cong :premises (t862.t2.t19))
% 23.33/23.60 (step t862.t2.t22 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c7))) :rule trans :premises (t862.t2.t20 t862.t2.t21))
% 23.33/23.60 (step t862.t2.t23 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule symm :premises (t862.t2.t22))
% 23.33/23.60 (step t862.t2.t24 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t862.t2.t19 t862.t2.t23))
% 23.33/23.60 (step t862.t2.t25 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t862.t2.t12 t862.t2.t10))
% 23.33/23.60 (step t862.t2.t26 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule trans :premises (t862.t2.t18 t862.t2.t24 t862.t2.t25))
% 23.33/23.60 (step t862.t2.t27 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule cong :premises (t862.t2.t10 t862.t2.t26))
% 23.33/23.60 (step t862.t2.t28 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule symm :premises (t862.t2.a15))
% 23.33/23.60 (step t862.t2.t29 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule symm :premises (t862.t2.t28))
% 23.33/23.60 (step t862.t2.t30 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule symm :premises (t862.t2.t29))
% 23.33/23.60 (step t862.t2.t31 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.identity)) :rule symm :premises (t862.t2.a14))
% 23.33/23.60 (step t862.t2.t32 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule symm :premises (t862.t2.t31))
% 23.33/23.60 (step t862.t2.t33 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.identity)) :rule symm :premises (t862.t2.t32))
% 23.33/23.60 (step t862.t2.t34 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t862.t2.t33 t862.t2.t10))
% 23.33/23.60 (step t862.t2.t35 (cl (= (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule symm :premises (t862.t2.a13))
% 23.33/23.60 (step t862.t2.t36 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule symm :premises (t862.t2.t35))
% 23.33/23.60 (step t862.t2.t37 (cl (= (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule symm :premises (t862.t2.t36))
% 23.33/23.60 (step t862.t2.t38 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule trans :premises (t862.t2.t27 t862.t2.t30 t862.t2.t34 t862.t2.t37))
% 23.33/23.60 (step t862.t2.t39 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t862.t2.t9 t862.t2.t38))
% 23.33/23.60 (step t862.t2.t40 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule symm :premises (t862.t2.t39))
% 23.33/23.60 (step t862.t2.t41 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule symm :premises (t862.t2.a16))
% 23.33/23.60 (step t862.t2.t42 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.identity)) :rule symm :premises (t862.t2.a12))
% 23.33/23.60 (step t862.t2.t43 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule refl)
% 23.33/23.60 (step t862.t2.t44 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule cong :premises (t862.t2.t42 t862.t2.t43))
% 23.33/23.60 (step t862.t2.t45 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule symm :premises (t862.t2.a18))
% 23.33/23.60 (step t862.t2.t46 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule trans :premises (t862.t2.a12 t862.t2.t40 t862.t2.t41 t862.t2.t44 t862.t2.t45))
% 23.33/23.60 (step t862.t2.t47 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) :rule cong :premises (t862.t2.t46 t862.t2.t3))
% 23.33/23.60 (step t862.t2.t48 (cl (= tptp.sk_c6 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) :rule trans :premises (t862.t2.t2 t862.t2.t47))
% 23.33/23.60 (step t862.t2.t49 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6)))) :rule cong :premises (t862.t2.t8 t862.t2.t48))
% 23.33/23.60 (step t862.t2.t50 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6))) :rule symm :premises (t862.t2.a24))
% 23.33/23.60 (step t862.t2.t51 (cl (= (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule symm :premises (t862.t2.t20))
% 23.33/23.60 (step t862.t2.t52 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) :rule cong :premises (t862.t2.t51 t862.t2.t19))
% 23.33/23.60 (step t862.t2.t53 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule symm :premises (t862.t2.t52))
% 23.33/23.60 (step t862.t2.t54 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) tptp.identity)) :rule symm :premises (t862.t2.a11))
% 23.33/23.60 (step t862.t2.t55 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule trans :premises (t862.t2.t53 t862.t2.t54 t862.t2.a12 t862.t2.t40 t862.t2.t41 t862.t2.t44 t862.t2.t45))
% 23.33/23.60 (step t862.t2.t56 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) :rule symm :premises (t862.t2.t55))
% 23.33/23.60 (step t862.t2.t57 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) :rule cong :premises (t862.t2.t8 t862.t2.t56))
% 23.33/23.60 (step t862.t2.t58 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7))) :rule symm :premises (t862.t2.a20))
% 23.33/23.60 (step t862.t2.t59 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2))) :rule symm :premises (t862.t2.a23))
% 23.33/23.60 (step t862.t2.t60 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c2))) :rule cong :premises (t862.t2.t33 t862.t2.t8))
% 23.33/23.60 (step t862.t2.t61 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t862.t2.a22))
% 23.33/23.60 (step t862.t2.t62 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)) tptp.sk_c2)) :rule trans :premises (t862.t2.t59 t862.t2.t60 t862.t2.t61))
% 23.33/23.60 (step t862.t2.t63 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t862.t2.t62 t862.t2.t10))
% 23.33/23.60 (step t862.t2.t64 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 23.33/23.60 (step t862.t2.t65 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7))) :rule cong :premises (t862.t2.t63 t862.t2.t64))
% 23.33/23.60 (step t862.t2.t66 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7))) :rule symm :premises (t862.t2.t65))
% 23.33/23.60 (step t862.t2.t67 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7))) :rule trans :premises (t862.t2.t57 t862.t2.t58 t862.t2.t66))
% 23.33/23.60 (step t862.t2.t68 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7))) :rule trans :premises (t862.t2.t67 t862.t2.t65))
% 23.33/23.60 (step t862.t2.t69 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 23.33/23.60 (step t862.t2.t70 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c4)) :rule symm :premises (t862.t2.a6))
% 23.33/23.60 (step t862.t2.t71 (cl (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t862.t2.t70))
% 23.33/23.60 (step t862.t2.t72 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule cong :premises (t862.t2.t71 t862.t2.a2))
% 23.33/23.60 (step t862.t2.t73 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4))) :rule symm :premises (t862.t2.a5))
% 23.33/23.60 (step t862.t2.t74 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule symm :premises (t862.t2.t73))
% 23.33/23.60 (step t862.t2.t75 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4))) :rule symm :premises (t862.t2.t74))
% 23.33/23.60 (step t862.t2.t76 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t862.t2.a4))
% 23.33/23.60 (step t862.t2.t77 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t862.t2.t76))
% 23.33/23.60 (step t862.t2.t78 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t862.t2.t77))
% 23.33/23.60 (step t862.t2.t79 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 23.33/23.60 (step t862.t2.t80 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t862.t2.t78 t862.t2.t79))
% 23.33/23.60 (step t862.t2.t81 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t862.t2.a3))
% 23.33/23.60 (step t862.t2.t82 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule symm :premises (t862.t2.t81))
% 23.33/23.60 (step t862.t2.t83 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t862.t2.t82))
% 23.33/23.60 (step t862.t2.t84 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c6) tptp.sk_c4)) :rule trans :premises (t862.t2.t72 t862.t2.t75 t862.t2.t80 t862.t2.t83))
% 23.33/23.60 (step t862.t2.t85 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule cong :premises (t862.t2.t69 t862.t2.t84))
% 23.33/23.60 (step t862.t2.t86 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule symm :premises (t862.t2.t85))
% 23.33/23.60 (step t862.t2.t87 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6))) :rule symm :premises (t862.t2.a7))
% 23.33/23.60 (step t862.t2.t88 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6))) :rule cong :premises (t862.t2.a2 t862.t2.t3))
% 23.33/23.60 (step t862.t2.t89 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule symm :premises (t862.t2.t88))
% 23.33/23.60 (step t862.t2.t90 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t862.t2.a8))
% 23.33/23.60 (step t862.t2.t91 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule cong :premises (t862.t2.t90 t862.t2.t3))
% 23.33/23.60 (step t862.t2.t92 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6))) :rule symm :premises (t862.t2.t91))
% 23.33/23.60 (step t862.t2.t93 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule cong :premises (t862.t2.t8 t862.t2.t14))
% 23.33/23.60 (step t862.t2.t94 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule symm :premises (t862.t2.t93))
% 23.33/23.60 (step t862.t2.t95 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule trans :premises (t862.t2.a2 t862.t2.t86 t862.t2.t87 t862.t2.t89 t862.t2.t92 t862.t2.a9 t862.t2.t94))
% 23.33/23.60 (step t862.t2.t96 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) :rule cong :premises (t862.t2.t68 t862.t2.t95))
% 23.33/23.60 (step t862.t2.t97 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) :rule symm :premises (t862.t2.a21))
% 23.33/23.60 (step t862.t2.t98 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))))) :rule symm :premises (t862.t2.t97))
% 23.33/23.60 (step t862.t2.t99 (cl (= (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule refl)
% 23.33/23.60 (step t862.t2.t100 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6))) :rule symm :premises (t862.t2.a9))
% 23.33/23.60 (step t862.t2.t101 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule trans :premises (t862.t2.t93 t862.t2.t100 t862.t2.t91))
% 23.33/23.60 (step t862.t2.t102 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule cong :premises (t862.t2.t64 t862.t2.t101))
% 23.33/23.60 (step t862.t2.t103 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t862.t2.a10))
% 23.33/23.60 (step t862.t2.t104 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) tptp.sk_c7)) :rule trans :premises (t862.t2.t102 t862.t2.t103 t862.t2.t14 t862.t2.t11))
% 23.33/23.60 (step t862.t2.t105 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7))) :rule cong :premises (t862.t2.t99 t862.t2.t104))
% 23.33/23.60 (step t862.t2.t106 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) :rule symm :premises (t862.t2.t58))
% 23.33/23.60 (step t862.t2.t107 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) :rule trans :premises (t862.t2.t49 t862.t2.t50 t862.t2.t96 t862.t2.t98 t862.t2.t105 t862.t2.t106))
% 23.33/23.60 (step t862.t2.t108 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule cong :premises (t862.t2.t7 t862.t2.t107))
% 23.33/23.60 (step t862.t2.t109 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) :rule symm :premises (t862.t2.a19))
% 23.33/23.60 (step t862.t2.t110 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t862.t2.a17))
% 23.33/23.60 (step t862.t2.t111 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule trans :premises (t862.t2.t110 t862.t2.a12))
% 23.33/23.60 (step t862.t2.t112 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule cong :premises (t862.t2.t111 t862.t2.t55))
% 23.33/23.60 (step t862.t2.t113 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule symm :premises (t862.t2.t41))
% 23.33/23.60 (step t862.t2.t114 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule symm :premises (t862.t2.t54))
% 23.33/23.60 (step t862.t2.t115 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule symm :premises (t862.t2.t103))
% 23.33/23.60 (step t862.t2.t116 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule cong :premises (t862.t2.t8 t862.t2.t16))
% 23.33/23.60 (step t862.t2.t117 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule symm :premises (t862.t2.t116))
% 23.33/23.60 (step t862.t2.t118 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule trans :premises (t862.t2.t92 t862.t2.a9 t862.t2.t94 t862.t2.t117))
% 23.33/23.60 (step t862.t2.t119 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule cong :premises (t862.t2.t16 t862.t2.t118))
% 23.33/23.60 (step t862.t2.t120 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule symm :premises (t862.t2.t87))
% 23.33/23.60 (step t862.t2.t121 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t862.t2.a2))
% 23.33/23.60 (step t862.t2.t122 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t862.t2.t116 t862.t2.t93 t862.t2.t100 t862.t2.t91 t862.t2.t88 t862.t2.t120 t862.t2.t85 t862.t2.t121))
% 23.33/23.60 (step t862.t2.t123 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t862.t2.t19 t862.t2.t122))
% 23.33/23.60 (step t862.t2.t124 (cl (= tptp.sk_c7 tptp.sk_c5)) :rule trans :premises (t862.t2.t12 t862.t2.t15 t862.t2.t115 t862.t2.t119 t862.t2.t123 t862.t2.t13))
% 23.33/23.60 (step t862.t2.t125 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule cong :premises (t862.t2.t22 t862.t2.t124))
% 23.33/23.60 (step t862.t2.t126 (cl (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule trans :premises (t862.t2.t2 t862.t2.t4 t862.t2.t6 t862.t2.t108 t862.t2.t109 t862.t2.t112 t862.t2.t113 t862.t2.t39 t862.t2.t42 t862.t2.t114 t862.t2.t52 t862.t2.t125))
% 23.33/23.60 (step t862.t2 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule subproof :discharge (t862.t2.a0 t862.t2.a1 t862.t2.a2 t862.t2.a3 t862.t2.a4 t862.t2.a5 t862.t2.a6 t862.t2.a7 t862.t2.a8 t862.t2.a9 t862.t2.a10 t862.t2.a11 t862.t2.a12 t862.t2.a13 t862.t2.a14 t862.t2.a15 t862.t2.a16 t862.t2.a17 t862.t2.a18 t862.t2.a19 t862.t2.a20 t862.t2.a21 t862.t2.a22 t862.t2.a23 t862.t2.a24 t862.t2.a25 t862.t2.a26))
% 23.33/23.60 (step t862.t3 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule and_pos)
% 23.33/23.60 (step t862.t4 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 23.33/23.60 (step t862.t5 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule and_pos)
% 23.33/23.60 (step t862.t6 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 23.33/23.60 (step t862.t7 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 23.33/23.60 (step t862.t8 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule and_pos)
% 23.33/23.60 (step t862.t9 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 23.33/23.60 (step t862.t10 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.60 (step t862.t11 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule and_pos)
% 23.33/23.60 (step t862.t12 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.60 (step t862.t13 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.60 (step t862.t14 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule and_pos)
% 23.33/23.60 (step t862.t15 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule and_pos)
% 23.33/23.60 (step t862.t16 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule and_pos)
% 23.33/23.60 (step t862.t17 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.60 (step t862.t18 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule and_pos)
% 23.33/23.60 (step t862.t19 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule and_pos)
% 23.33/23.60 (step t862.t20 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 23.33/23.60 (step t862.t21 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule and_pos)
% 23.33/23.60 (step t862.t22 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule and_pos)
% 23.33/23.60 (step t862.t23 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) :rule and_pos)
% 23.33/23.60 (step t862.t24 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))))) :rule and_pos)
% 23.33/23.60 (step t862.t25 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 23.33/23.60 (step t862.t26 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) :rule and_pos)
% 23.33/23.60 (step t862.t27 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6)))) :rule and_pos)
% 23.33/23.60 (step t862.t28 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 23.33/23.60 (step t862.t29 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.60 (step t862.t30 (cl (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))))) :rule resolution :premises (t862.t2 t862.t3 t862.t4 t862.t5 t862.t6 t862.t7 t862.t8 t862.t9 t862.t10 t862.t11 t862.t12 t862.t13 t862.t14 t862.t15 t862.t16 t862.t17 t862.t18 t862.t19 t862.t20 t862.t21 t862.t22 t862.t23 t862.t24 t862.t25 t862.t26 t862.t27 t862.t28 t862.t29))
% 23.33/23.60 (step t862.t31 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule reordering :premises (t862.t30))
% 23.33/23.60 (step t862.t32 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule contraction :premises (t862.t31))
% 23.33/23.60 (step t862.t33 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule resolution :premises (t862.t1 t862.t32))
% 23.33/23.60 (step t862.t34 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5)))) :rule implies_neg2)
% 23.33/23.60 (step t862.t35 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5)))) :rule resolution :premises (t862.t33 t862.t34))
% 23.33/23.60 (step t862.t36 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5)))) :rule contraction :premises (t862.t35))
% 23.33/23.60 (step t862.t37 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule implies :premises (t862.t36))
% 23.33/23.60 (step t862.t38 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) :rule and_neg)
% 23.33/23.60 (step t862.t39 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) :rule resolution :premises (t862.t38 t862.a1 t862.a0 t862.a2 t862.a22 t862.a21 t862.a24 t862.a3 t862.a23 t862.a4 t862.a5 t862.a6 t862.a8 t862.a19 t862.a15 t862.a9 t862.a17 t862.a20 t862.a10 t862.a18 t862.a26 t862.a14 t862.a25 t862.a11 t862.a12 t862.a16 t862.a7 t862.a13))
% 23.33/23.60 (step t862.t40 (cl (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule resolution :premises (t862.t37 t862.t39))
% 23.33/23.60 (step t862 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule subproof :discharge (t862.a0 t862.a1 t862.a2 t862.a3 t862.a4 t862.a5 t862.a6 t862.a7 t862.a8 t862.a9 t862.a10 t862.a11 t862.a12 t862.a13 t862.a14 t862.a15 t862.a16 t862.a17 t862.a18 t862.a19 t862.a20 t862.a21 t862.a22 t862.a23 t862.a24 t862.a25 t862.a26))
% 23.33/23.60 (step t863 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 23.33/23.60 (step t864 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule and_pos)
% 23.33/23.60 (step t865 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule and_pos)
% 23.33/23.60 (step t866 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 23.33/23.60 (step t867 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule and_pos)
% 23.33/23.60 (step t868 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.60 (step t869 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.60 (step t870 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 23.33/23.60 (step t871 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule and_pos)
% 23.33/23.60 (step t872 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.60 (step t873 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 23.33/23.60 (step t874 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 23.33/23.60 (step t875 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) :rule and_pos)
% 23.33/23.60 (step t876 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.60 (step t877 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) :rule and_pos)
% 23.33/23.60 (step t878 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule and_pos)
% 23.33/23.60 (step t879 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6)))) :rule and_pos)
% 23.33/23.60 (step t880 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule and_pos)
% 23.33/23.60 (step t881 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule and_pos)
% 23.33/23.60 (step t882 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule and_pos)
% 23.33/23.60 (step t883 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule and_pos)
% 23.33/23.60 (step t884 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 23.33/23.60 (step t885 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 23.33/23.60 (step t886 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.60 (step t887 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule and_pos)
% 23.33/23.60 (step t888 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))))) :rule and_pos)
% 23.33/23.60 (step t889 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule and_pos)
% 23.33/23.60 (step t890 (cl (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))))) :rule resolution :premises (t862 t863 t864 t865 t866 t867 t868 t869 t870 t871 t872 t873 t874 t875 t876 t877 t878 t879 t880 t881 t882 t883 t884 t885 t886 t887 t888 t889))
% 23.33/23.61 (step t891 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule reordering :premises (t890))
% 23.33/23.61 (step t892 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule contraction :premises (t891))
% 23.33/23.61 (step t893 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule resolution :premises (t861 t892))
% 23.33/23.61 (step t894 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5)))) :rule implies_neg2)
% 23.33/23.61 (step t895 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5)))) :rule resolution :premises (t893 t894))
% 23.33/23.61 (step t896 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5)))) :rule contraction :premises (t895))
% 23.33/23.61 (step t897 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule implies :premises (t896))
% 23.33/23.61 (step t898 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule resolution :premises (t749 t897))
% 23.33/23.61 (step t899 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) :rule reordering :premises (t898))
% 23.33/23.61 (step t900 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) :rule and_neg)
% 23.33/23.61 (step t901 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) :rule implies_neg1)
% 23.33/23.61 (anchor :step t902)
% 23.33/23.61 (assume t902.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 23.33/23.61 (assume t902.a1 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))
% 23.33/23.61 (assume t902.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))
% 23.33/23.61 (assume t902.a3 (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))
% 23.33/23.61 (assume t902.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 23.33/23.61 (assume t902.a5 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))
% 23.33/23.61 (assume t902.a6 (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))
% 23.33/23.61 (assume t902.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 23.33/23.61 (assume t902.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 23.33/23.61 (assume t902.a9 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 23.33/23.61 (assume t902.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))))
% 23.33/23.61 (assume t902.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))
% 23.33/23.61 (step t902.t1 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule implies_neg1)
% 23.33/23.61 (anchor :step t902.t2)
% 23.33/23.61 (assume t902.t2.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 23.33/23.61 (assume t902.t2.a1 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))
% 23.33/23.61 (assume t902.t2.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))
% 23.33/23.61 (assume t902.t2.a3 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 23.33/23.61 (assume t902.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 23.33/23.61 (assume t902.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))
% 23.33/23.61 (assume t902.t2.a6 (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))
% 23.33/23.61 (assume t902.t2.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))))
% 23.33/23.61 (assume t902.t2.a8 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))
% 23.33/23.61 (assume t902.t2.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))
% 23.33/23.61 (assume t902.t2.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 23.33/23.61 (assume t902.t2.a11 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 23.33/23.61 (step t902.t2.t1 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t902.t2.a11))
% 23.33/23.61 (step t902.t2.t2 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule symm :premises (t902.t2.t1))
% 23.33/23.61 (step t902.t2.t3 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 23.33/23.61 (step t902.t2.t4 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t902.t2.a1))
% 23.33/23.61 (step t902.t2.t5 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule symm :premises (t902.t2.t4))
% 23.33/23.61 (step t902.t2.t6 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5)) :rule symm :premises (t902.t2.a0))
% 23.33/23.61 (step t902.t2.t7 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 23.33/23.61 (step t902.t2.t8 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule cong :premises (t902.t2.t6 t902.t2.t7))
% 23.33/23.61 (step t902.t2.t9 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t902.t2.t8))
% 23.33/23.61 (step t902.t2.t10 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t902.t2.a10))
% 23.33/23.61 (step t902.t2.t11 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule symm :premises (t902.t2.t10))
% 23.33/23.61 (step t902.t2.t12 (cl (= tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule trans :premises (t902.t2.t5 t902.t2.t9))
% 23.33/23.61 (step t902.t2.t13 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t902.t2.a8))
% 23.33/23.61 (step t902.t2.t14 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule cong :premises (t902.t2.t13 t902.t2.t7))
% 23.33/23.61 (step t902.t2.t15 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6))) :rule symm :premises (t902.t2.t14))
% 23.33/23.61 (step t902.t2.t16 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 23.33/23.61 (step t902.t2.t17 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule cong :premises (t902.t2.t16 t902.t2.t8))
% 23.33/23.61 (step t902.t2.t18 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule symm :premises (t902.t2.t17))
% 23.33/23.61 (step t902.t2.t19 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule cong :premises (t902.t2.t16 t902.t2.t12))
% 23.33/23.61 (step t902.t2.t20 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule symm :premises (t902.t2.t19))
% 23.33/23.61 (step t902.t2.t21 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule trans :premises (t902.t2.t15 t902.t2.a9 t902.t2.t18 t902.t2.t20))
% 23.33/23.61 (step t902.t2.t22 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule cong :premises (t902.t2.t12 t902.t2.t21))
% 23.33/23.61 (step t902.t2.t23 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t902.t2.t12))
% 23.33/23.61 (step t902.t2.t24 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6))) :rule symm :premises (t902.t2.a9))
% 23.33/23.61 (step t902.t2.t25 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6))) :rule cong :premises (t902.t2.a2 t902.t2.t7))
% 23.33/23.61 (step t902.t2.t26 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6))) :rule symm :premises (t902.t2.a7))
% 23.33/23.61 (step t902.t2.t27 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule symm :premises (t902.t2.t26))
% 23.33/23.61 (step t902.t2.t28 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 23.33/23.61 (step t902.t2.t29 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c4)) :rule symm :premises (t902.t2.a6))
% 23.33/23.61 (step t902.t2.t30 (cl (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t902.t2.t29))
% 23.33/23.61 (step t902.t2.t31 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule cong :premises (t902.t2.t30 t902.t2.a2))
% 23.33/23.61 (step t902.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4))) :rule symm :premises (t902.t2.a5))
% 23.33/23.61 (step t902.t2.t33 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule symm :premises (t902.t2.t32))
% 23.33/23.61 (step t902.t2.t34 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4))) :rule symm :premises (t902.t2.t33))
% 23.33/23.61 (step t902.t2.t35 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t902.t2.a4))
% 23.33/23.61 (step t902.t2.t36 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t902.t2.t35))
% 23.33/23.61 (step t902.t2.t37 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t902.t2.t36))
% 23.33/23.61 (step t902.t2.t38 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 23.33/23.61 (step t902.t2.t39 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t902.t2.t37 t902.t2.t38))
% 23.33/23.61 (step t902.t2.t40 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t902.t2.a3))
% 23.33/23.61 (step t902.t2.t41 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule symm :premises (t902.t2.t40))
% 23.33/23.61 (step t902.t2.t42 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t902.t2.t41))
% 23.33/23.61 (step t902.t2.t43 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c6) tptp.sk_c4)) :rule trans :premises (t902.t2.t31 t902.t2.t34 t902.t2.t39 t902.t2.t42))
% 23.33/23.61 (step t902.t2.t44 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule cong :premises (t902.t2.t28 t902.t2.t43))
% 23.33/23.61 (step t902.t2.t45 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t902.t2.a2))
% 23.33/23.61 (step t902.t2.t46 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t902.t2.t19 t902.t2.t17 t902.t2.t24 t902.t2.t14 t902.t2.t25 t902.t2.t27 t902.t2.t44 t902.t2.t45))
% 23.33/23.61 (step t902.t2.t47 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t902.t2.t23 t902.t2.t46))
% 23.33/23.61 (step t902.t2.t48 (cl (= tptp.sk_c7 tptp.sk_c5)) :rule trans :premises (t902.t2.t5 t902.t2.t9 t902.t2.t11 t902.t2.t22 t902.t2.t47 t902.t2.t6))
% 23.33/23.61 (step t902.t2.t49 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule cong :premises (t902.t2.t3 t902.t2.t48))
% 23.33/23.61 (step t902.t2.t50 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule trans :premises (t902.t2.t2 t902.t2.t49))
% 23.33/23.61 (step t902.t2 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule subproof :discharge (t902.t2.a0 t902.t2.a1 t902.t2.a2 t902.t2.a3 t902.t2.a4 t902.t2.a5 t902.t2.a6 t902.t2.a7 t902.t2.a8 t902.t2.a9 t902.t2.a10 t902.t2.a11))
% 23.33/23.61 (step t902.t3 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 23.33/23.61 (step t902.t4 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule and_pos)
% 23.33/23.61 (step t902.t5 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule and_pos)
% 23.33/23.61 (step t902.t6 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 23.33/23.61 (step t902.t7 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 23.33/23.61 (step t902.t8 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule and_pos)
% 23.33/23.61 (step t902.t9 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 23.33/23.61 (step t902.t10 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.61 (step t902.t11 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule and_pos)
% 23.33/23.61 (step t902.t12 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.61 (step t902.t13 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.61 (step t902.t14 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 23.33/23.61 (step t902.t15 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) :rule resolution :premises (t902.t2 t902.t3 t902.t4 t902.t5 t902.t6 t902.t7 t902.t8 t902.t9 t902.t10 t902.t11 t902.t12 t902.t13 t902.t14))
% 23.33/23.61 (step t902.t16 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule reordering :premises (t902.t15))
% 23.33/23.61 (step t902.t17 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule contraction :premises (t902.t16))
% 23.33/23.61 (step t902.t18 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t902.t1 t902.t17))
% 23.33/23.61 (step t902.t19 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule implies_neg2)
% 23.33/23.61 (step t902.t20 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule resolution :premises (t902.t18 t902.t19))
% 23.33/23.61 (step t902.t21 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule contraction :premises (t902.t20))
% 23.33/23.61 (step t902.t22 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule implies :premises (t902.t21))
% 23.33/23.61 (step t902.t23 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_neg)
% 23.33/23.61 (step t902.t24 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule resolution :premises (t902.t23 t902.a0 t902.a1 t902.a2 t902.a9 t902.a8 t902.a11 t902.a3 t902.a10 t902.a5 t902.a6 t902.a7 t902.a4))
% 23.33/23.61 (step t902.t25 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t902.t22 t902.t24))
% 23.33/23.61 (step t902 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule subproof :discharge (t902.a0 t902.a1 t902.a2 t902.a3 t902.a4 t902.a5 t902.a6 t902.a7 t902.a8 t902.a9 t902.a10 t902.a11))
% 23.33/23.61 (step t903 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 23.33/23.61 (step t904 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule and_pos)
% 23.33/23.61 (step t905 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule and_pos)
% 23.33/23.61 (step t906 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 23.33/23.61 (step t907 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 23.33/23.61 (step t908 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule and_pos)
% 23.33/23.61 (step t909 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.61 (step t910 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.61 (step t911 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 23.33/23.61 (step t912 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 23.33/23.61 (step t913 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.61 (step t914 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule and_pos)
% 23.33/23.61 (step t915 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))))) :rule resolution :premises (t902 t903 t904 t905 t906 t907 t908 t909 t910 t911 t912 t913 t914))
% 23.33/23.61 (step t916 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule reordering :premises (t915))
% 23.33/23.61 (step t917 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule contraction :premises (t916))
% 23.33/23.61 (step t918 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t901 t917))
% 23.33/23.61 (step t919 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule implies_neg2)
% 23.33/23.61 (step t920 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule resolution :premises (t918 t919))
% 23.33/23.61 (step t921 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule contraction :premises (t920))
% 23.33/23.61 (step t922 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule implies :premises (t921))
% 23.33/23.61 (step t923 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t900 t922))
% 23.33/23.61 (step t924 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) :rule reordering :premises (t923))
% 23.33/23.61 (step t925 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) :rule and_neg)
% 23.33/23.61 (step t926 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) :rule implies_neg1)
% 23.33/23.61 (anchor :step t927)
% 23.33/23.61 (assume t927.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 23.33/23.61 (assume t927.a1 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))
% 23.33/23.61 (assume t927.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))
% 23.33/23.61 (assume t927.a3 (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))
% 23.33/23.61 (assume t927.a4 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 23.33/23.61 (assume t927.a5 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))
% 23.33/23.61 (assume t927.a6 (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))
% 23.33/23.61 (assume t927.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 23.33/23.61 (assume t927.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 23.33/23.61 (assume t927.a9 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 23.33/23.61 (assume t927.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))))
% 23.33/23.61 (assume t927.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))
% 23.33/23.61 (step t927.t1 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule implies_neg1)
% 23.33/23.61 (anchor :step t927.t2)
% 23.33/23.61 (assume t927.t2.a0 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 23.33/23.61 (assume t927.t2.a1 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))
% 23.33/23.61 (assume t927.t2.a2 (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 23.33/23.61 (assume t927.t2.a3 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 23.33/23.61 (assume t927.t2.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))
% 23.33/23.61 (assume t927.t2.a5 (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))
% 23.33/23.61 (assume t927.t2.a6 (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))
% 23.33/23.61 (assume t927.t2.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))))
% 23.33/23.61 (assume t927.t2.a8 (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))
% 23.33/23.61 (assume t927.t2.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))
% 23.33/23.61 (assume t927.t2.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 23.33/23.61 (assume t927.t2.a11 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 23.33/23.61 (step t927.t2.t1 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5)) :rule symm :premises (t927.t2.a2))
% 23.33/23.61 (step t927.t2.t2 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 23.33/23.61 (step t927.t2.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule cong :premises (t927.t2.t1 t927.t2.t2))
% 23.33/23.61 (step t927.t2.t4 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t927.t2.t3))
% 23.33/23.61 (step t927.t2.t5 (cl (= tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule trans :premises (t927.t2.a1 t927.t2.t4))
% 23.33/23.61 (step t927.t2.t6 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 23.33/23.61 (step t927.t2.t7 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t927.t2.a11))
% 23.33/23.61 (step t927.t2.t8 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule symm :premises (t927.t2.t7))
% 23.33/23.61 (step t927.t2.t9 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t927.t2.a10))
% 23.33/23.61 (step t927.t2.t10 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t927.t2.t9))
% 23.33/23.61 (step t927.t2.t11 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 23.33/23.61 (step t927.t2.t12 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4))) :rule cong :premises (t927.t2.t10 t927.t2.t11))
% 23.33/23.61 (step t927.t2.t13 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4))) :rule symm :premises (t927.t2.a9))
% 23.33/23.61 (step t927.t2.t14 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule symm :premises (t927.t2.t13))
% 23.33/23.61 (step t927.t2.t15 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c4)) :rule symm :premises (t927.t2.a8))
% 23.33/23.61 (step t927.t2.t16 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t927.t2.a6))
% 23.33/23.61 (step t927.t2.t17 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (tptp.multiply tptp.sk_c4 tptp.sk_c6))) :rule cong :premises (t927.t2.t15 t927.t2.t16))
% 23.33/23.61 (step t927.t2.t18 (cl (= tptp.sk_c4 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) :rule trans :premises (t927.t2.t8 t927.t2.t12 t927.t2.t14 t927.t2.t17))
% 23.33/23.61 (step t927.t2.t19 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule cong :premises (t927.t2.t6 t927.t2.t18))
% 23.33/23.61 (step t927.t2.t20 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6))) :rule symm :premises (t927.t2.a7))
% 23.33/23.61 (step t927.t2.t21 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule cong :premises (t927.t2.t16 t927.t2.t2))
% 23.33/23.61 (step t927.t2.t22 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t927.t2.a4))
% 23.33/23.61 (step t927.t2.t23 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule cong :premises (t927.t2.t22 t927.t2.t2))
% 23.33/23.61 (step t927.t2.t24 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6))) :rule symm :premises (t927.t2.t23))
% 23.33/23.61 (step t927.t2.t25 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 23.33/23.61 (step t927.t2.t26 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule cong :premises (t927.t2.t25 t927.t2.t3))
% 23.33/23.61 (step t927.t2.t27 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule symm :premises (t927.t2.t26))
% 23.33/23.61 (step t927.t2.t28 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule cong :premises (t927.t2.t25 t927.t2.t5))
% 23.33/23.61 (step t927.t2.t29 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule symm :premises (t927.t2.t28))
% 23.33/23.61 (step t927.t2.t30 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule trans :premises (t927.t2.a6 t927.t2.t19 t927.t2.t20 t927.t2.t21 t927.t2.t24 t927.t2.a5 t927.t2.t27 t927.t2.t29))
% 23.33/23.61 (step t927.t2.t31 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule cong :premises (t927.t2.t5 t927.t2.t30))
% 23.33/23.61 (step t927.t2.t32 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t927.t2.t5))
% 23.33/23.61 (step t927.t2.t33 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6))) :rule symm :premises (t927.t2.a5))
% 23.33/23.61 (step t927.t2.t34 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule trans :premises (t927.t2.t28 t927.t2.t26 t927.t2.t33 t927.t2.t23))
% 23.33/23.61 (step t927.t2.t35 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule cong :premises (t927.t2.t32 t927.t2.t34))
% 23.33/23.61 (step t927.t2.t36 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t927.t2.a3))
% 23.33/23.61 (step t927.t2.t37 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t927.t2.a1))
% 23.33/23.61 (step t927.t2.t38 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t927.t2.a0))
% 23.33/23.61 (step t927.t2.t39 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t927.t2.t38))
% 23.33/23.61 (step t927.t2.t40 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule trans :premises (t927.t2.a2 t927.t2.t31 t927.t2.t35 t927.t2.t36 t927.t2.t3 t927.t2.t37 t927.t2.t39))
% 23.33/23.61 (step t927.t2 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule subproof :discharge (t927.t2.a0 t927.t2.a1 t927.t2.a2 t927.t2.a3 t927.t2.a4 t927.t2.a5 t927.t2.a6 t927.t2.a7 t927.t2.a8 t927.t2.a9 t927.t2.a10 t927.t2.a11))
% 23.33/23.61 (step t927.t3 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 23.33/23.61 (step t927.t4 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule and_pos)
% 23.33/23.61 (step t927.t5 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 23.33/23.61 (step t927.t6 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.61 (step t927.t7 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule and_pos)
% 23.33/23.61 (step t927.t8 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.61 (step t927.t9 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule and_pos)
% 23.33/23.61 (step t927.t10 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.61 (step t927.t11 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 23.33/23.61 (step t927.t12 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule and_pos)
% 23.33/23.61 (step t927.t13 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= 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_c3) tptp.sk_c3))) :rule and_pos)
% 23.33/23.61 (step t927.t14 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 23.33/23.61 (step t927.t15 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))))) :rule resolution :premises (t927.t2 t927.t3 t927.t4 t927.t5 t927.t6 t927.t7 t927.t8 t927.t9 t927.t10 t927.t11 t927.t12 t927.t13 t927.t14))
% 23.33/23.61 (step t927.t16 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t927.t15))
% 23.33/23.61 (step t927.t17 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t927.t16))
% 23.33/23.61 (step t927.t18 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t927.t1 t927.t17))
% 23.33/23.61 (step t927.t19 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))) :rule implies_neg2)
% 23.33/23.61 (step t927.t20 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t927.t18 t927.t19))
% 23.33/23.61 (step t927.t21 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t927.t20))
% 23.33/23.61 (step t927.t22 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule implies :premises (t927.t21))
% 23.33/23.61 (step t927.t23 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule and_neg)
% 23.33/23.61 (step t927.t24 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule resolution :premises (t927.t23 t927.a4 t927.a1 t927.a0 t927.a7 t927.a5 t927.a6 t927.a2 t927.a10 t927.a3 t927.a11 t927.a8 t927.a9))
% 23.33/23.61 (step t927.t25 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t927.t22 t927.t24))
% 23.33/23.61 (step t927 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule subproof :discharge (t927.a0 t927.a1 t927.a2 t927.a3 t927.a4 t927.a5 t927.a6 t927.a7 t927.a8 t927.a9 t927.a10 t927.a11))
% 23.33/23.61 (step t928 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 23.33/23.61 (step t929 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule and_pos)
% 23.33/23.61 (step t930 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule and_pos)
% 23.33/23.61 (step t931 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 23.33/23.61 (step t932 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 23.33/23.61 (step t933 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule and_pos)
% 23.33/23.61 (step t934 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.61 (step t935 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.61 (step t936 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 23.33/23.61 (step t937 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 23.33/23.61 (step t938 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.61 (step t939 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule and_pos)
% 23.33/23.61 (step t940 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))))) :rule resolution :premises (t927 t928 t929 t930 t931 t932 t933 t934 t935 t936 t937 t938 t939))
% 23.33/23.61 (step t941 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t940))
% 23.33/23.61 (step t942 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t941))
% 23.33/23.61 (step t943 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t926 t942))
% 23.33/23.61 (step t944 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))) :rule implies_neg2)
% 23.33/23.61 (step t945 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t943 t944))
% 23.33/23.61 (step t946 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t945))
% 23.33/23.61 (step t947 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule implies :premises (t946))
% 23.33/23.61 (step t948 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t925 t947))
% 23.33/23.61 (step t949 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) :rule reordering :premises (t948))
% 23.33/23.61 (step t950 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) :rule resolution :premises (t748 t165 t668 t171 t670 t788 t796 t804 t395 t403 t411 t419 t427 t435 t443 t459 t812 t467 t820 t828 t836 t844 t852 t491 t499 t507 t515 t860 t899 t796 t804 t395 t403 t411 t419 t427 t435 t443 t459 t812 t467 t820 t828 t836 t844 t852 t491 t499 t507 t515 t860 t924 t395 t403 t411 t419 t515 t860 t949 t395 t403 t411 t419 t515 t860))
% 23.33/23.61 (step t951 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t950))
% 23.33/23.61 (step t952 (cl (not (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c5) (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6)) (or (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c5) (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6))) (or (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule equiv_pos2)
% 23.33/23.61 (step t953 (cl (= (= (tptp.inverse tptp.sk_c2) tptp.sk_c5) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)))) :rule all_simplify)
% 23.33/23.61 (step t954 (cl (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c5) (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6)) (or (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) :rule cong :premises (t953 t637))
% 23.33/23.61 (step t955 (cl (or (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule resolution :premises (t952 t954 a20))
% 23.33/23.61 (step t956 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule or :premises (t955))
% 23.33/23.61 (step t957 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule reordering :premises (t956))
% 23.33/23.61 (step t958 (cl (not (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c5) (= (tptp.inverse tptp.sk_c3) tptp.sk_c4)) (or (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))))) (not (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c5) (= (tptp.inverse tptp.sk_c3) tptp.sk_c4))) (or (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))) :rule equiv_pos2)
% 23.33/23.61 (step t959 (cl (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c5) (= (tptp.inverse tptp.sk_c3) tptp.sk_c4)) (or (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t953 t649))
% 23.33/23.61 (step t960 (cl (or (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t958 t959 a21))
% 23.33/23.61 (step t961 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule or :premises (t960))
% 23.33/23.61 (step t962 (cl (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule reordering :premises (t961))
% 23.33/23.61 (step t963 (cl (not (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c5) (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c5) (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7))) (or (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule equiv_pos2)
% 23.33/23.61 (step t964 (cl (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c5) (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t953 t126))
% 23.33/23.61 (step t965 (cl (or (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule resolution :premises (t963 t964 a19))
% 23.33/23.61 (step t966 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule or :premises (t965))
% 23.33/23.61 (step t967 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule reordering :premises (t966))
% 23.33/23.61 (step t968 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t951 t957 t962 t967 t743 t745))
% 23.33/23.61 (step t969 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule contraction :premises (t968))
% 23.33/23.61 (step t970 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5)))))) :rule or :premises (t143))
% 23.33/23.61 (step t971 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) :rule and_neg)
% 23.33/23.61 (step t972 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) :rule implies_neg1)
% 23.33/23.61 (anchor :step t973)
% 23.33/23.61 (assume t973.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 23.33/23.61 (assume t973.a1 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 23.33/23.61 (assume t973.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))
% 23.33/23.61 (assume t973.a3 (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)))
% 23.33/23.61 (assume t973.a4 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))
% 23.33/23.61 (assume t973.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 23.33/23.61 (assume t973.a6 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))))
% 23.33/23.61 (assume t973.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 23.33/23.61 (assume t973.a8 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 23.33/23.61 (assume t973.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))
% 23.33/23.61 (assume t973.a10 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 23.33/23.61 (assume t973.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))
% 23.33/23.61 (assume t973.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))))
% 23.33/23.61 (assume t973.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))
% 23.33/23.61 (assume t973.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))
% 23.33/23.61 (assume t973.a15 (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.61 (assume t973.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))
% 23.33/23.61 (assume t973.a17 (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))
% 23.33/23.61 (assume t973.a18 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.61 (assume t973.a19 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))
% 23.33/23.61 (step t973.t1 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule implies_neg1)
% 23.33/23.61 (anchor :step t973.t2)
% 23.33/23.61 (assume t973.t2.a0 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 23.33/23.61 (assume t973.t2.a1 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 23.33/23.61 (assume t973.t2.a2 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))
% 23.33/23.61 (assume t973.t2.a3 (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)))
% 23.33/23.61 (assume t973.t2.a4 (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 23.33/23.61 (assume t973.t2.a5 (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))
% 23.33/23.61 (assume t973.t2.a6 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))
% 23.33/23.61 (assume t973.t2.a7 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 23.33/23.61 (assume t973.t2.a8 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))
% 23.33/23.61 (assume t973.t2.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))
% 23.33/23.61 (assume t973.t2.a10 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))
% 23.33/23.61 (assume t973.t2.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 23.33/23.61 (assume t973.t2.a12 (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.61 (assume t973.t2.a13 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))))
% 23.33/23.61 (assume t973.t2.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))
% 23.33/23.61 (assume t973.t2.a15 (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))
% 23.33/23.61 (assume t973.t2.a16 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.61 (assume t973.t2.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))
% 23.33/23.61 (assume t973.t2.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))))
% 23.33/23.61 (assume t973.t2.a19 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 23.33/23.61 (step t973.t2.t1 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 23.33/23.61 (step t973.t2.t2 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 23.33/23.61 (step t973.t2.t3 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 23.33/23.61 (step t973.t2.t4 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t973.t2.a1))
% 23.33/23.61 (step t973.t2.t5 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t973.t2.t4 t973.t2.t2))
% 23.33/23.61 (step t973.t2.t6 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7))) :rule symm :premises (t973.t2.t5))
% 23.33/23.61 (step t973.t2.t7 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c5)) :rule symm :premises (t973.t2.a3))
% 23.33/23.61 (step t973.t2.t8 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t973.t2.t7))
% 23.33/23.61 (step t973.t2.t9 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule refl)
% 23.33/23.61 (step t973.t2.t10 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule cong :premises (t973.t2.t8 t973.t2.t9))
% 23.33/23.61 (step t973.t2.t11 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule symm :premises (t973.t2.t10))
% 23.33/23.61 (step t973.t2.t12 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule trans :premises (t973.t2.a0 t973.t2.t6 t973.t2.a2 t973.t2.t11))
% 23.33/23.61 (step t973.t2.t13 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule cong :premises (t973.t2.t3 t973.t2.t12))
% 23.33/23.61 (step t973.t2.t14 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule symm :premises (t973.t2.a5))
% 23.33/23.61 (step t973.t2.t15 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t973.t2.a6))
% 23.33/23.61 (step t973.t2.t16 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule cong :premises (t973.t2.t15 t973.t2.t9))
% 23.33/23.61 (step t973.t2.t17 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule trans :premises (t973.t2.t13 t973.t2.t14 t973.t2.t16))
% 23.33/23.61 (step t973.t2.t18 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule cong :premises (t973.t2.t2 t973.t2.t17))
% 23.33/23.61 (step t973.t2.t19 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule symm :premises (t973.t2.a9))
% 23.33/23.61 (step t973.t2.t20 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5)) :rule symm :premises (t973.t2.a4))
% 23.33/23.61 (step t973.t2.t21 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule cong :premises (t973.t2.t20 t973.t2.t9))
% 23.33/23.61 (step t973.t2.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7))) :rule symm :premises (t973.t2.a2))
% 23.33/23.61 (step t973.t2.t23 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t973.t2.a0))
% 23.33/23.61 (step t973.t2.t24 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) tptp.sk_c7)) :rule trans :premises (t973.t2.t18 t973.t2.t19 t973.t2.t21 t973.t2.t10 t973.t2.t22 t973.t2.t5 t973.t2.t23))
% 23.33/23.61 (step t973.t2.t25 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule cong :premises (t973.t2.t1 t973.t2.t24))
% 23.33/23.61 (step t973.t2.t26 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule symm :premises (t973.t2.t25))
% 23.33/23.61 (step t973.t2.t27 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule symm :premises (t973.t2.a8))
% 23.33/23.61 (step t973.t2.t28 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule cong :premises (t973.t2.a7 t973.t2.t9))
% 23.33/23.61 (step t973.t2.t29 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule symm :premises (t973.t2.t28))
% 23.33/23.61 (step t973.t2.t30 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule symm :premises (t973.t2.t16))
% 23.33/23.61 (step t973.t2.t31 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule symm :premises (t973.t2.t13))
% 23.33/23.61 (step t973.t2.t32 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t973.t2.a19))
% 23.33/23.61 (step t973.t2.t33 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule symm :premises (t973.t2.t32))
% 23.33/23.61 (step t973.t2.t34 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2))) :rule cong :premises (t973.t2.a13 t973.t2.t3))
% 23.33/23.61 (step t973.t2.t35 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2))) :rule symm :premises (t973.t2.a18))
% 23.33/23.61 (step t973.t2.t36 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) :rule symm :premises (t973.t2.t35))
% 23.33/23.61 (step t973.t2.t37 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule refl)
% 23.33/23.61 (step t973.t2.t38 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 23.33/23.61 (step t973.t2.t39 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule cong :premises (t973.t2.a4 t973.t2.t38))
% 23.33/23.61 (step t973.t2.t40 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2) (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) tptp.sk_c2))) :rule cong :premises (t973.t2.t39 t973.t2.t3))
% 23.33/23.61 (step t973.t2.t41 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.inverse tptp.sk_c2))) :rule trans :premises (t973.t2.t20 t973.t2.t8))
% 23.33/23.61 (step t973.t2.t42 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule trans :premises (t973.t2.a7 t973.t2.t26 t973.t2.t27 t973.t2.t29 t973.t2.t30 t973.t2.a5 t973.t2.t31))
% 23.33/23.61 (step t973.t2.t43 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule cong :premises (t973.t2.t41 t973.t2.t42))
% 23.33/23.61 (step t973.t2.t44 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) tptp.sk_c7)) :rule trans :premises (t973.t2.t43 t973.t2.t22 t973.t2.t5 t973.t2.t23))
% 23.33/23.61 (step t973.t2.t45 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) tptp.sk_c2) (tptp.multiply tptp.sk_c7 tptp.sk_c2))) :rule cong :premises (t973.t2.t44 t973.t2.t3))
% 23.33/23.61 (step t973.t2.t46 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule symm :premises (t973.t2.t21))
% 23.33/23.61 (step t973.t2.t47 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule symm :premises (t973.t2.t27))
% 23.33/23.61 (step t973.t2.t48 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t973.t2.a7))
% 23.33/23.61 (step t973.t2.t49 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) tptp.sk_c6)) :rule trans :premises (t973.t2.t28 t973.t2.t47 t973.t2.t25 t973.t2.t48))
% 23.33/23.61 (step t973.t2.t50 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t973.t2.t2 t973.t2.t49))
% 23.33/23.61 (step t973.t2.t51 (cl (= tptp.sk_c7 tptp.sk_c5)) :rule trans :premises (t973.t2.a0 t973.t2.t6 t973.t2.a2 t973.t2.t11 t973.t2.t46 t973.t2.a9 t973.t2.t50 t973.t2.t20))
% 23.33/23.61 (step t973.t2.t52 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) :rule trans :premises (t973.t2.t51 t973.t2.t8))
% 23.33/23.61 (step t973.t2.t53 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule cong :premises (t973.t2.t52 t973.t2.t3))
% 23.33/23.61 (step t973.t2.t54 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) tptp.identity)) :rule symm :premises (t973.t2.a10))
% 23.33/23.61 (step t973.t2.t55 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule symm :premises (t973.t2.t54))
% 23.33/23.61 (step t973.t2.t56 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule cong :premises (t973.t2.t39))
% 23.33/23.61 (step t973.t2.t57 (cl (= (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule symm :premises (t973.t2.t56))
% 23.33/23.61 (step t973.t2.t58 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) :rule cong :premises (t973.t2.t57 t973.t2.t44))
% 23.33/23.61 (step t973.t2.t59 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) :rule trans :premises (t973.t2.t40 t973.t2.t45 t973.t2.t53 t973.t2.t4 t973.t2.t55 t973.t2.t58))
% 23.33/23.61 (step t973.t2.t60 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) :rule cong :premises (t973.t2.t37 t973.t2.t59))
% 23.33/23.61 (step t973.t2.t61 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule symm :premises (t973.t2.t58))
% 23.33/23.61 (step t973.t2.t62 (cl (= (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule refl)
% 23.33/23.61 (step t973.t2.t63 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.identity)) :rule symm :premises (t973.t2.a13))
% 23.33/23.61 (step t973.t2.t64 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t973.t2.t63 t973.t2.t37))
% 23.33/23.61 (step t973.t2.t65 (cl (= (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule symm :premises (t973.t2.t64))
% 23.33/23.61 (step t973.t2.t66 (cl (= (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.inverse tptp.sk_c7))) :rule cong :premises (t973.t2.t44))
% 23.33/23.61 (step t973.t2.t67 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c7))) :rule trans :premises (t973.t2.t56 t973.t2.t66))
% 23.33/23.61 (step t973.t2.t68 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule symm :premises (t973.t2.t67))
% 23.33/23.61 (step t973.t2.t69 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t973.t2.t2 t973.t2.t68))
% 23.33/23.61 (step t973.t2.t70 (cl (= tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t973.t2.t44))
% 23.33/23.61 (step t973.t2.t71 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule symm :premises (t973.t2.t39))
% 23.33/23.61 (step t973.t2.t72 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule trans :premises (t973.t2.t70 t973.t2.t71))
% 23.33/23.61 (step t973.t2.t73 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t973.t2.t72 t973.t2.t37))
% 23.33/23.61 (step t973.t2.t74 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule trans :premises (t973.t2.t69 t973.t2.t73))
% 23.33/23.61 (step t973.t2.t75 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule cong :premises (t973.t2.t37 t973.t2.t74))
% 23.33/23.61 (step t973.t2.t76 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule symm :premises (t973.t2.t75))
% 23.33/23.61 (step t973.t2.t77 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule trans :premises (t973.t2.a12 t973.t2.t65 t973.t2.a14 t973.t2.t76))
% 23.33/23.61 (step t973.t2.t78 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule cong :premises (t973.t2.t62 t973.t2.t77))
% 23.33/23.61 (step t973.t2.t79 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule symm :premises (t973.t2.a17))
% 23.33/23.61 (step t973.t2.t80 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.identity)) :rule symm :premises (t973.t2.a16))
% 23.33/23.61 (step t973.t2.t81 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule refl)
% 23.33/23.61 (step t973.t2.t82 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule cong :premises (t973.t2.t80 t973.t2.t81))
% 23.33/23.61 (step t973.t2.t83 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule symm :premises (t973.t2.a15))
% 23.33/23.61 (step t973.t2.t84 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule trans :premises (t973.t2.t61 t973.t2.t54 t973.t2.a16 t973.t2.t78 t973.t2.t79 t973.t2.t82 t973.t2.t83))
% 23.33/23.61 (step t973.t2.t85 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule cong :premises (t973.t2.t37 t973.t2.t84))
% 23.33/23.61 (step t973.t2.t86 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule symm :premises (t973.t2.a14))
% 23.33/23.61 (step t973.t2.t87 (cl (= (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule symm :premises (t973.t2.a12))
% 23.33/23.61 (step t973.t2.t88 (cl (= tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule trans :premises (t973.t2.t33 t973.t2.t34 t973.t2.t36 t973.t2.t60 t973.t2.t85 t973.t2.t75 t973.t2.t86 t973.t2.t64 t973.t2.t87))
% 23.33/23.61 (step t973.t2.t89 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c5))) :rule cong :premises (t973.t2.t51))
% 23.33/23.61 (step t973.t2.t90 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c5))) :rule trans :premises (t973.t2.t56 t973.t2.t66 t973.t2.t89))
% 23.33/23.61 (step t973.t2.t91 (cl (= tptp.sk_c2 (tptp.inverse tptp.sk_c5))) :rule trans :premises (t973.t2.t88 t973.t2.t90))
% 23.33/23.61 (step t973.t2.t92 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule cong :premises (t973.t2.t91 t973.t2.t51))
% 23.33/23.61 (step t973.t2.t93 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.identity)) :rule symm :premises (t973.t2.a11))
% 23.33/23.61 (step t973.t2.t94 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule cong :premises (t973.t2.t67 t973.t2.t51))
% 23.33/23.61 (step t973.t2.t95 (cl (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule trans :premises (t973.t2.a7 t973.t2.t26 t973.t2.t27 t973.t2.t29 t973.t2.t30 t973.t2.a5 t973.t2.t31 t973.t2.t92 t973.t2.t93 t973.t2.t55 t973.t2.t58 t973.t2.t94))
% 23.33/23.61 (step t973.t2 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule subproof :discharge (t973.t2.a0 t973.t2.a1 t973.t2.a2 t973.t2.a3 t973.t2.a4 t973.t2.a5 t973.t2.a6 t973.t2.a7 t973.t2.a8 t973.t2.a9 t973.t2.a10 t973.t2.a11 t973.t2.a12 t973.t2.a13 t973.t2.a14 t973.t2.a15 t973.t2.a16 t973.t2.a17 t973.t2.a18 t973.t2.a19))
% 23.33/23.61 (step t973.t3 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 23.33/23.61 (step t973.t4 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 23.33/23.61 (step t973.t5 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule and_pos)
% 23.33/23.61 (step t973.t6 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 23.33/23.61 (step t973.t7 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 23.33/23.61 (step t973.t8 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule and_pos)
% 23.33/23.61 (step t973.t9 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule and_pos)
% 23.33/23.61 (step t973.t10 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 23.33/23.61 (step t973.t11 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule and_pos)
% 23.33/23.61 (step t973.t12 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule and_pos)
% 23.33/23.61 (step t973.t13 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule and_pos)
% 23.33/23.61 (step t973.t14 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 23.33/23.61 (step t973.t15 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule and_pos)
% 23.33/23.61 (step t973.t16 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.61 (step t973.t17 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule and_pos)
% 23.33/23.61 (step t973.t18 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule and_pos)
% 23.33/23.61 (step t973.t19 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule and_pos)
% 23.33/23.61 (step t973.t20 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule and_pos)
% 23.33/23.61 (step t973.t21 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) :rule and_pos)
% 23.33/23.61 (step t973.t22 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 23.33/23.61 (step t973.t23 (cl (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))))) :rule resolution :premises (t973.t2 t973.t3 t973.t4 t973.t5 t973.t6 t973.t7 t973.t8 t973.t9 t973.t10 t973.t11 t973.t12 t973.t13 t973.t14 t973.t15 t973.t16 t973.t17 t973.t18 t973.t19 t973.t20 t973.t21 t973.t22))
% 23.33/23.61 (step t973.t24 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule reordering :premises (t973.t23))
% 23.33/23.61 (step t973.t25 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule contraction :premises (t973.t24))
% 23.33/23.61 (step t973.t26 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule resolution :premises (t973.t1 t973.t25))
% 23.33/23.61 (step t973.t27 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5)))) :rule implies_neg2)
% 23.33/23.61 (step t973.t28 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5)))) :rule resolution :premises (t973.t26 t973.t27))
% 23.33/23.61 (step t973.t29 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5)))) :rule contraction :premises (t973.t28))
% 23.33/23.61 (step t973.t30 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule implies :premises (t973.t29))
% 23.33/23.61 (step t973.t31 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule and_neg)
% 23.33/23.61 (step t973.t32 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule resolution :premises (t973.t31 t973.a8 t973.a7 t973.a14 t973.a3 t973.a0 t973.a13 t973.a2 t973.a1 t973.a11 t973.a9 t973.a4 t973.a5 t973.a15 t973.a6 t973.a16 t973.a17 t973.a18 t973.a19 t973.a12 t973.a10))
% 23.33/23.61 (step t973.t33 (cl (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule resolution :premises (t973.t30 t973.t32))
% 23.33/23.61 (step t973 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule subproof :discharge (t973.a0 t973.a1 t973.a2 t973.a3 t973.a4 t973.a5 t973.a6 t973.a7 t973.a8 t973.a9 t973.a10 t973.a11 t973.a12 t973.a13 t973.a14 t973.a15 t973.a16 t973.a17 t973.a18 t973.a19))
% 23.33/23.61 (step t974 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 23.33/23.61 (step t975 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 23.33/23.61 (step t976 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule and_pos)
% 23.33/23.61 (step t977 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 23.33/23.61 (step t978 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule and_pos)
% 23.33/23.61 (step t979 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 23.33/23.61 (step t980 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.61 (step t981 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 23.33/23.61 (step t982 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 23.33/23.61 (step t983 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule and_pos)
% 23.33/23.61 (step t984 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 23.33/23.61 (step t985 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule and_pos)
% 23.33/23.61 (step t986 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) :rule and_pos)
% 23.33/23.61 (step t987 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule and_pos)
% 23.33/23.61 (step t988 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule and_pos)
% 23.33/23.61 (step t989 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule and_pos)
% 23.33/23.61 (step t990 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule and_pos)
% 23.33/23.61 (step t991 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule and_pos)
% 23.33/23.61 (step t992 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule and_pos)
% 23.33/23.61 (step t993 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule and_pos)
% 23.33/23.61 (step t994 (cl (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))))) :rule resolution :premises (t973 t974 t975 t976 t977 t978 t979 t980 t981 t982 t983 t984 t985 t986 t987 t988 t989 t990 t991 t992 t993))
% 23.33/23.61 (step t995 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule reordering :premises (t994))
% 23.33/23.61 (step t996 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule contraction :premises (t995))
% 23.33/23.61 (step t997 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule resolution :premises (t972 t996))
% 23.33/23.61 (step t998 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5)))) :rule implies_neg2)
% 23.33/23.61 (step t999 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5)))) :rule resolution :premises (t997 t998))
% 23.33/23.61 (step t1000 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5)))) :rule contraction :premises (t999))
% 23.33/23.61 (step t1001 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule implies :premises (t1000))
% 23.33/23.61 (step t1002 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5))) :rule resolution :premises (t971 t1001))
% 23.33/23.61 (step t1003 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) :rule reordering :premises (t1002))
% 23.33/23.61 (step t1004 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 23.33/23.61 (anchor :step t1005)
% 23.33/23.61 (assume t1005.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 23.33/23.61 (step t1005.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c2)) (:= Y tptp.sk_c2) (:= Z tptp.sk_c7)))
% 23.33/23.61 (step t1005.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule or :premises (t1005.t1))
% 23.33/23.61 (step t1005.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule resolution :premises (t1005.t2 t1005.a0))
% 23.33/23.61 (step t1005 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule subproof :discharge (t1005.a0))
% 23.33/23.61 (step t1006 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule resolution :premises (t1004 t1005))
% 23.33/23.61 (step t1007 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule implies_neg2)
% 23.33/23.61 (step t1008 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule resolution :premises (t1006 t1007))
% 23.33/23.61 (step t1009 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule contraction :premises (t1008))
% 23.33/23.61 (step t1010 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule implies :premises (t1009))
% 23.33/23.61 (step t1011 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule resolution :premises (t1010 a2))
% 23.33/23.61 (step t1012 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 23.33/23.61 (anchor :step t1013)
% 23.33/23.61 (assume t1013.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 23.33/23.61 (step t1013.t1 (cl (or (not (forall ((X $$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_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) :rule forall_inst :args ((:= X tptp.sk_c2) (:= Y tptp.sk_c5) (:= Z (tptp.multiply tptp.sk_c2 tptp.sk_c7))))
% 23.33/23.61 (step t1013.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule or :premises (t1013.t1))
% 23.33/23.61 (step t1013.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule resolution :premises (t1013.t2 t1013.a0))
% 23.33/23.61 (step t1013 (cl (not (forall ((X $$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_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule subproof :discharge (t1013.a0))
% 23.33/23.61 (step t1014 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule resolution :premises (t1012 t1013))
% 23.33/23.61 (step t1015 (cl (=> (forall ((X $$unsorted) (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_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) :rule implies_neg2)
% 23.33/23.61 (step t1016 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) :rule resolution :premises (t1014 t1015))
% 23.33/23.61 (step t1017 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) :rule contraction :premises (t1016))
% 23.33/23.61 (step t1018 (cl (not (forall ((X $$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_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule implies :premises (t1017))
% 23.33/23.61 (step t1019 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule resolution :premises (t1018 a2))
% 23.33/23.61 (step t1020 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 23.33/23.61 (anchor :step t1021)
% 23.33/23.61 (assume t1021.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 23.33/23.61 (step t1021.t1 (cl (or (not (forall ((X $$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_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) :rule forall_inst :args ((:= X tptp.sk_c1) (:= Y tptp.sk_c7) (:= Z (tptp.multiply tptp.sk_c2 tptp.sk_c7))))
% 23.33/23.61 (step t1021.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule or :premises (t1021.t1))
% 23.33/23.61 (step t1021.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule resolution :premises (t1021.t2 t1021.a0))
% 23.33/23.61 (step t1021 (cl (not (forall ((X $$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_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule subproof :discharge (t1021.a0))
% 23.33/23.61 (step t1022 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule resolution :premises (t1020 t1021))
% 23.33/23.61 (step t1023 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) :rule implies_neg2)
% 23.33/23.61 (step t1024 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) :rule resolution :premises (t1022 t1023))
% 23.33/23.61 (step t1025 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) :rule contraction :premises (t1024))
% 23.33/23.61 (step t1026 (cl (not (forall ((X $$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_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule implies :premises (t1025))
% 23.33/23.61 (step t1027 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule resolution :premises (t1026 a2))
% 23.33/23.61 (step t1028 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 23.33/23.61 (anchor :step t1029)
% 23.33/23.61 (assume t1029.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 23.33/23.61 (step t1029.t1 (cl (or (not (forall ((X $$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_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) :rule forall_inst :args ((:= X tptp.sk_c7) (:= Y tptp.sk_c6) (:= Z (tptp.multiply tptp.sk_c2 tptp.sk_c7))))
% 23.33/23.61 (step t1029.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule or :premises (t1029.t1))
% 23.33/23.61 (step t1029.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule resolution :premises (t1029.t2 t1029.a0))
% 23.33/23.61 (step t1029 (cl (not (forall ((X $$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_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule subproof :discharge (t1029.a0))
% 23.33/23.61 (step t1030 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule resolution :premises (t1028 t1029))
% 23.33/23.61 (step t1031 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) :rule implies_neg2)
% 23.33/23.61 (step t1032 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) :rule resolution :premises (t1030 t1031))
% 23.33/23.61 (step t1033 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) :rule contraction :premises (t1032))
% 23.33/23.61 (step t1034 (cl (not (forall ((X $$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_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule implies :premises (t1033))
% 23.33/23.61 (step t1035 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule resolution :premises (t1034 a2))
% 23.33/23.61 (step t1036 (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)
% 23.33/23.61 (anchor :step t1037)
% 23.33/23.61 (assume t1037.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 23.33/23.61 (step t1037.t1 (cl (or (not (forall ((X $$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)))
% 23.33/23.61 (step t1037.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule or :premises (t1037.t1))
% 23.33/23.61 (step t1037.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule resolution :premises (t1037.t2 t1037.a0))
% 23.33/23.61 (step t1037 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule subproof :discharge (t1037.a0))
% 23.33/23.61 (step t1038 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule resolution :premises (t1036 t1037))
% 23.33/23.61 (step t1039 (cl (=> (forall ((X $$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)
% 23.33/23.61 (step t1040 (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 (t1038 t1039))
% 23.33/23.61 (step t1041 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule contraction :premises (t1040))
% 23.33/23.61 (step t1042 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule implies :premises (t1041))
% 23.33/23.61 (step t1043 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule resolution :premises (t1042 t335))
% 23.33/23.61 (step t1044 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) :rule implies_neg1)
% 23.33/23.61 (anchor :step t1045)
% 23.33/23.61 (assume t1045.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 23.33/23.61 (assume t1045.a1 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 23.33/23.61 (assume t1045.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))
% 23.33/23.61 (assume t1045.a3 (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)))
% 23.33/23.61 (assume t1045.a4 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))
% 23.33/23.61 (assume t1045.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 23.33/23.61 (assume t1045.a6 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))))
% 23.33/23.61 (assume t1045.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 23.33/23.61 (assume t1045.a8 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 23.33/23.61 (assume t1045.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))
% 23.33/23.61 (assume t1045.a10 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 23.33/23.61 (assume t1045.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))
% 23.33/23.61 (assume t1045.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))))
% 23.33/23.61 (assume t1045.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))
% 23.33/23.61 (assume t1045.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))
% 23.33/23.61 (assume t1045.a15 (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.61 (assume t1045.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))
% 23.33/23.61 (assume t1045.a17 (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))
% 23.33/23.61 (assume t1045.a18 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.61 (assume t1045.a19 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))
% 23.33/23.61 (step t1045.t1 (cl (=> (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule implies_neg1)
% 23.33/23.61 (anchor :step t1045.t2)
% 23.33/23.61 (assume t1045.t2.a0 (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))
% 23.33/23.61 (assume t1045.t2.a1 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.61 (assume t1045.t2.a2 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))
% 23.33/23.61 (assume t1045.t2.a3 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 23.33/23.61 (assume t1045.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 23.33/23.61 (assume t1045.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))
% 23.33/23.61 (assume t1045.t2.a6 (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)))
% 23.33/23.61 (assume t1045.t2.a7 (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 23.33/23.61 (assume t1045.t2.a8 (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))
% 23.33/23.61 (assume t1045.t2.a9 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))
% 23.33/23.61 (assume t1045.t2.a10 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 23.33/23.61 (assume t1045.t2.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))
% 23.33/23.61 (assume t1045.t2.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))
% 23.33/23.61 (assume t1045.t2.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))
% 23.33/23.61 (assume t1045.t2.a14 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))))
% 23.33/23.61 (assume t1045.t2.a15 (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))
% 23.33/23.61 (assume t1045.t2.a16 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 23.33/23.61 (assume t1045.t2.a17 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))))
% 23.33/23.61 (assume t1045.t2.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))))
% 23.33/23.61 (assume t1045.t2.a19 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 23.33/23.61 (step t1045.t2.t1 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 23.33/23.61 (step t1045.t2.t2 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t1045.t2.a4))
% 23.33/23.61 (step t1045.t2.t3 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 23.33/23.61 (step t1045.t2.t4 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t1045.t2.t2 t1045.t2.t3))
% 23.33/23.61 (step t1045.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7))) :rule symm :premises (t1045.t2.t4))
% 23.33/23.61 (step t1045.t2.t6 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c5)) :rule symm :premises (t1045.t2.a6))
% 23.33/23.61 (step t1045.t2.t7 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t1045.t2.t6))
% 23.33/23.61 (step t1045.t2.t8 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule refl)
% 23.33/23.61 (step t1045.t2.t9 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule cong :premises (t1045.t2.t7 t1045.t2.t8))
% 23.33/23.61 (step t1045.t2.t10 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule symm :premises (t1045.t2.t9))
% 23.33/23.61 (step t1045.t2.t11 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5)) :rule symm :premises (t1045.t2.a7))
% 23.33/23.61 (step t1045.t2.t12 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule symm :premises (t1045.t2.t11))
% 23.33/23.61 (step t1045.t2.t13 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule cong :premises (t1045.t2.t12 t1045.t2.t8))
% 23.33/23.61 (step t1045.t2.t14 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule symm :premises (t1045.t2.a12))
% 23.33/23.61 (step t1045.t2.t15 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule symm :premises (t1045.t2.t14))
% 23.33/23.61 (step t1045.t2.t16 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t1045.t2.a9))
% 23.33/23.61 (step t1045.t2.t17 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule symm :premises (t1045.t2.t16))
% 23.33/23.61 (step t1045.t2.t18 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule cong :premises (t1045.t2.t17 t1045.t2.t8))
% 23.33/23.61 (step t1045.t2.t19 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule symm :premises (t1045.t2.a8))
% 23.33/23.61 (step t1045.t2.t20 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule symm :premises (t1045.t2.t19))
% 23.33/23.61 (step t1045.t2.t21 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 23.33/23.61 (step t1045.t2.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7))) :rule symm :premises (t1045.t2.a5))
% 23.33/23.61 (step t1045.t2.t23 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t1045.t2.a3))
% 23.33/23.61 (step t1045.t2.t24 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) tptp.sk_c7)) :rule trans :premises (t1045.t2.t9 t1045.t2.t22 t1045.t2.t4 t1045.t2.t23))
% 23.33/23.61 (step t1045.t2.t25 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule cong :premises (t1045.t2.t21 t1045.t2.t24))
% 23.33/23.61 (step t1045.t2.t26 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule trans :premises (t1045.t2.t18 t1045.t2.t20 t1045.t2.t25))
% 23.33/23.61 (step t1045.t2.t27 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule cong :premises (t1045.t2.t3 t1045.t2.t26))
% 23.33/23.61 (step t1045.t2.t28 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule trans :premises (t1045.t2.a3 t1045.t2.t5 t1045.t2.a5 t1045.t2.t10 t1045.t2.t13 t1045.t2.t15 t1045.t2.t27))
% 23.33/23.61 (step t1045.t2.t29 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule cong :premises (t1045.t2.t1 t1045.t2.t28))
% 23.33/23.61 (step t1045.t2.t30 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule symm :premises (t1045.t2.a11))
% 23.33/23.61 (step t1045.t2.t31 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule symm :premises (t1045.t2.t30))
% 23.33/23.61 (step t1045.t2.t32 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule symm :premises (t1045.t2.t31))
% 23.33/23.61 (step t1045.t2.t33 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t1045.t2.a10))
% 23.33/23.61 (step t1045.t2.t34 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule cong :premises (t1045.t2.t33 t1045.t2.t8))
% 23.33/23.61 (step t1045.t2.t35 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t1045.t2.a19))
% 23.33/23.61 (step t1045.t2.t36 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule symm :premises (t1045.t2.t35))
% 23.33/23.61 (step t1045.t2.t37 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.identity)) :rule symm :premises (t1045.t2.a14))
% 23.33/23.61 (step t1045.t2.t38 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule symm :premises (t1045.t2.t37))
% 23.33/23.61 (step t1045.t2.t39 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2))) :rule cong :premises (t1045.t2.t38 t1045.t2.t21))
% 23.33/23.61 (step t1045.t2.t40 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2))) :rule symm :premises (t1045.t2.a18))
% 23.33/23.61 (step t1045.t2.t41 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) :rule symm :premises (t1045.t2.t40))
% 23.33/23.61 (step t1045.t2.t42 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule refl)
% 23.33/23.61 (step t1045.t2.t43 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 23.33/23.61 (step t1045.t2.t44 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule cong :premises (t1045.t2.t12 t1045.t2.t43))
% 23.33/23.61 (step t1045.t2.t45 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2) (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) tptp.sk_c2))) :rule cong :premises (t1045.t2.t44 t1045.t2.t21))
% 23.33/23.61 (step t1045.t2.t46 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.inverse tptp.sk_c2))) :rule trans :premises (t1045.t2.t11 t1045.t2.t7))
% 23.33/23.61 (step t1045.t2.t47 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule trans :premises (t1045.t2.a10 t1045.t2.t29 t1045.t2.t32 t1045.t2.t34 t1045.t2.t18 t1045.t2.t20 t1045.t2.t25))
% 23.33/23.61 (step t1045.t2.t48 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule cong :premises (t1045.t2.t46 t1045.t2.t47))
% 23.33/23.61 (step t1045.t2.t49 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) tptp.sk_c7)) :rule trans :premises (t1045.t2.t48 t1045.t2.t22 t1045.t2.t4 t1045.t2.t23))
% 23.33/23.61 (step t1045.t2.t50 (cl (= (tptp.multiply (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) tptp.sk_c2) (tptp.multiply tptp.sk_c7 tptp.sk_c2))) :rule cong :premises (t1045.t2.t49 t1045.t2.t21))
% 23.33/23.61 (step t1045.t2.t51 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule symm :premises (t1045.t2.t34))
% 23.33/23.61 (step t1045.t2.t52 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule symm :premises (t1045.t2.t29))
% 23.33/23.61 (step t1045.t2.t53 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) tptp.sk_c6)) :rule trans :premises (t1045.t2.t51 t1045.t2.t31 t1045.t2.t52 t1045.t2.t33))
% 23.33/23.61 (step t1045.t2.t54 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t1045.t2.t3 t1045.t2.t53))
% 23.33/23.61 (step t1045.t2.t55 (cl (= tptp.sk_c7 tptp.sk_c5)) :rule trans :premises (t1045.t2.a3 t1045.t2.t5 t1045.t2.a5 t1045.t2.t10 t1045.t2.t13 t1045.t2.t15 t1045.t2.t54 t1045.t2.t11))
% 23.33/23.61 (step t1045.t2.t56 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c2))) :rule trans :premises (t1045.t2.t55 t1045.t2.t7))
% 23.33/23.61 (step t1045.t2.t57 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule cong :premises (t1045.t2.t56 t1045.t2.t21))
% 23.33/23.61 (step t1045.t2.t58 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) tptp.identity)) :rule symm :premises (t1045.t2.a17))
% 23.33/23.61 (step t1045.t2.t59 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule symm :premises (t1045.t2.t58))
% 23.33/23.61 (step t1045.t2.t60 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule cong :premises (t1045.t2.t44))
% 23.33/23.61 (step t1045.t2.t61 (cl (= tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t1045.t2.t49))
% 23.33/23.61 (step t1045.t2.t62 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule cong :premises (t1045.t2.t60 t1045.t2.t61))
% 23.33/23.61 (step t1045.t2.t63 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) :rule symm :premises (t1045.t2.t62))
% 23.33/23.61 (step t1045.t2.t64 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))) :rule trans :premises (t1045.t2.t45 t1045.t2.t50 t1045.t2.t57 t1045.t2.t2 t1045.t2.t59 t1045.t2.t63))
% 23.33/23.61 (step t1045.t2.t65 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) :rule cong :premises (t1045.t2.t42 t1045.t2.t64))
% 23.33/23.61 (step t1045.t2.t66 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) tptp.identity)) :rule symm :premises (t1045.t2.t59))
% 23.33/23.61 (step t1045.t2.t67 (cl (= (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule refl)
% 23.33/23.61 (step t1045.t2.t68 (cl (= (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule symm :premises (t1045.t2.a15))
% 23.33/23.61 (step t1045.t2.t69 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule symm :premises (t1045.t2.t68))
% 23.33/23.61 (step t1045.t2.t70 (cl (= (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t1045.t2.t38 t1045.t2.t42))
% 23.33/23.61 (step t1045.t2.t71 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule symm :premises (t1045.t2.a13))
% 23.33/23.61 (step t1045.t2.t72 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule symm :premises (t1045.t2.t71))
% 23.33/23.61 (step t1045.t2.t73 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) :rule trans :premises (t1045.t2.t44 t1045.t2.t49))
% 23.33/23.61 (step t1045.t2.t74 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t1045.t2.t73 t1045.t2.t42))
% 23.33/23.61 (step t1045.t2.t75 (cl (= (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.inverse tptp.sk_c7))) :rule cong :premises (t1045.t2.t49))
% 23.33/23.61 (step t1045.t2.t76 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c7))) :rule trans :premises (t1045.t2.t60 t1045.t2.t75))
% 23.33/23.61 (step t1045.t2.t77 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule cong :premises (t1045.t2.t3 t1045.t2.t76))
% 23.33/23.61 (step t1045.t2.t78 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule trans :premises (t1045.t2.t74 t1045.t2.t77))
% 23.33/23.61 (step t1045.t2.t79 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule cong :premises (t1045.t2.t42 t1045.t2.t78))
% 23.33/23.61 (step t1045.t2.t80 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule trans :premises (t1045.t2.t69 t1045.t2.t70 t1045.t2.t72 t1045.t2.t79))
% 23.33/23.61 (step t1045.t2.t81 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule cong :premises (t1045.t2.t67 t1045.t2.t80))
% 23.33/23.61 (step t1045.t2.t82 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule symm :premises (t1045.t2.a2))
% 23.33/23.61 (step t1045.t2.t83 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.identity)) :rule symm :premises (t1045.t2.a1))
% 23.33/23.61 (step t1045.t2.t84 (cl (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule refl)
% 23.33/23.61 (step t1045.t2.t85 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule cong :premises (t1045.t2.t83 t1045.t2.t84))
% 23.33/23.61 (step t1045.t2.t86 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule symm :premises (t1045.t2.a0))
% 23.33/23.61 (step t1045.t2.t87 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule trans :premises (t1045.t2.t62 t1045.t2.t66 t1045.t2.a1 t1045.t2.t81 t1045.t2.t82 t1045.t2.t85 t1045.t2.t86))
% 23.33/23.61 (step t1045.t2.t88 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule cong :premises (t1045.t2.t42 t1045.t2.t87))
% 23.33/23.61 (step t1045.t2.t89 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule symm :premises (t1045.t2.t79))
% 23.33/23.61 (step t1045.t2.t90 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule symm :premises (t1045.t2.t70))
% 23.33/23.61 (step t1045.t2.t91 (cl (= tptp.sk_c2 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule trans :premises (t1045.t2.t36 t1045.t2.t39 t1045.t2.t41 t1045.t2.t65 t1045.t2.t88 t1045.t2.t89 t1045.t2.t71 t1045.t2.t90 t1045.t2.t68))
% 23.33/23.61 (step t1045.t2.t92 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c5))) :rule cong :premises (t1045.t2.t55))
% 23.33/23.61 (step t1045.t2.t93 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c5))) :rule trans :premises (t1045.t2.t60 t1045.t2.t75 t1045.t2.t92))
% 23.33/23.61 (step t1045.t2.t94 (cl (= tptp.sk_c2 (tptp.inverse tptp.sk_c5))) :rule trans :premises (t1045.t2.t91 t1045.t2.t93))
% 23.33/23.61 (step t1045.t2.t95 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule cong :premises (t1045.t2.t94 t1045.t2.t55))
% 23.33/23.61 (step t1045.t2.t96 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.identity)) :rule symm :premises (t1045.t2.a16))
% 23.33/23.61 (step t1045.t2.t97 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule trans :premises (t1045.t2.a10 t1045.t2.t29 t1045.t2.t32 t1045.t2.t34 t1045.t2.t18 t1045.t2.t20 t1045.t2.t25 t1045.t2.t95 t1045.t2.t96 t1045.t2.a1 t1045.t2.t81 t1045.t2.t82 t1045.t2.t85 t1045.t2.t86))
% 23.33/23.61 (step t1045.t2 (cl (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule subproof :discharge (t1045.t2.a0 t1045.t2.a1 t1045.t2.a2 t1045.t2.a3 t1045.t2.a4 t1045.t2.a5 t1045.t2.a6 t1045.t2.a7 t1045.t2.a8 t1045.t2.a9 t1045.t2.a10 t1045.t2.a11 t1045.t2.a12 t1045.t2.a13 t1045.t2.a14 t1045.t2.a15 t1045.t2.a16 t1045.t2.a17 t1045.t2.a18 t1045.t2.a19))
% 23.33/23.61 (step t1045.t3 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule and_pos)
% 23.33/23.61 (step t1045.t4 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule and_pos)
% 23.33/23.61 (step t1045.t5 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule and_pos)
% 23.33/23.61 (step t1045.t6 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 23.33/23.61 (step t1045.t7 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 23.33/23.61 (step t1045.t8 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule and_pos)
% 23.33/23.61 (step t1045.t9 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 23.33/23.61 (step t1045.t10 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 23.33/23.61 (step t1045.t11 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule and_pos)
% 23.33/23.61 (step t1045.t12 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule and_pos)
% 23.33/23.61 (step t1045.t13 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 23.33/23.61 (step t1045.t14 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule and_pos)
% 23.33/23.61 (step t1045.t15 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule and_pos)
% 23.33/23.61 (step t1045.t16 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule and_pos)
% 23.33/23.61 (step t1045.t17 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.61 (step t1045.t18 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule and_pos)
% 23.33/23.61 (step t1045.t19 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 23.33/23.61 (step t1045.t20 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule and_pos)
% 23.33/23.61 (step t1045.t21 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) :rule and_pos)
% 23.33/23.61 (step t1045.t22 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 23.33/23.61 (step t1045.t23 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))))) :rule resolution :premises (t1045.t2 t1045.t3 t1045.t4 t1045.t5 t1045.t6 t1045.t7 t1045.t8 t1045.t9 t1045.t10 t1045.t11 t1045.t12 t1045.t13 t1045.t14 t1045.t15 t1045.t16 t1045.t17 t1045.t18 t1045.t19 t1045.t20 t1045.t21 t1045.t22))
% 23.33/23.61 (step t1045.t24 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule reordering :premises (t1045.t23))
% 23.33/23.62 (step t1045.t25 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule contraction :premises (t1045.t24))
% 23.33/23.62 (step t1045.t26 (cl (=> (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule resolution :premises (t1045.t1 t1045.t25))
% 23.33/23.62 (step t1045.t27 (cl (=> (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule implies_neg2)
% 23.33/23.62 (step t1045.t28 (cl (=> (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (=> (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule resolution :premises (t1045.t26 t1045.t27))
% 23.33/23.62 (step t1045.t29 (cl (=> (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule contraction :premises (t1045.t28))
% 23.33/23.62 (step t1045.t30 (cl (not (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule implies :premises (t1045.t29))
% 23.33/23.62 (step t1045.t31 (cl (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule and_neg)
% 23.33/23.62 (step t1045.t32 (cl (and (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule resolution :premises (t1045.t31 t1045.a17 t1045.a18 t1045.a19 t1045.a8 t1045.a7 t1045.a14 t1045.a3 t1045.a0 t1045.a13 t1045.a2 t1045.a1 t1045.a11 t1045.a9 t1045.a16 t1045.a6 t1045.a15 t1045.a5 t1045.a4 t1045.a12 t1045.a10))
% 23.33/23.62 (step t1045.t33 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule resolution :premises (t1045.t30 t1045.t32))
% 23.33/23.62 (step t1045 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule subproof :discharge (t1045.a0 t1045.a1 t1045.a2 t1045.a3 t1045.a4 t1045.a5 t1045.a6 t1045.a7 t1045.a8 t1045.a9 t1045.a10 t1045.a11 t1045.a12 t1045.a13 t1045.a14 t1045.a15 t1045.a16 t1045.a17 t1045.a18 t1045.a19))
% 23.33/23.62 (step t1046 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 23.33/23.62 (step t1047 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 23.33/23.62 (step t1048 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule and_pos)
% 23.33/23.62 (step t1049 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 23.33/23.62 (step t1050 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) :rule and_pos)
% 23.33/23.62 (step t1051 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 23.33/23.62 (step t1052 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_pos)
% 23.33/23.62 (step t1053 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 23.33/23.62 (step t1054 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 23.33/23.62 (step t1055 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule and_pos)
% 23.33/23.62 (step t1056 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 23.33/23.62 (step t1057 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule and_pos)
% 23.33/23.62 (step t1058 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) :rule and_pos)
% 23.33/23.62 (step t1059 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule and_pos)
% 23.33/23.62 (step t1060 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule and_pos)
% 23.33/23.62 (step t1061 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule and_pos)
% 23.33/23.62 (step t1062 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule and_pos)
% 23.33/23.62 (step t1063 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule and_pos)
% 23.33/23.62 (step t1064 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule and_pos)
% 23.33/23.62 (step t1065 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule and_pos)
% 23.33/23.62 (step t1066 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))))) :rule resolution :premises (t1045 t1046 t1047 t1048 t1049 t1050 t1051 t1052 t1053 t1054 t1055 t1056 t1057 t1058 t1059 t1060 t1061 t1062 t1063 t1064 t1065))
% 23.33/23.62 (step t1067 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule reordering :premises (t1066))
% 23.33/23.62 (step t1068 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule contraction :premises (t1067))
% 23.33/23.62 (step t1069 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule resolution :premises (t1044 t1068))
% 23.33/23.62 (step t1070 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule implies_neg2)
% 23.33/23.62 (step t1071 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule resolution :premises (t1069 t1070))
% 23.33/23.62 (step t1072 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule contraction :premises (t1071))
% 23.33/23.62 (step t1073 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule implies :premises (t1072))
% 23.33/23.62 (step t1074 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule resolution :premises (t971 t1073))
% 23.33/23.62 (step t1075 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c2) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))))) :rule reordering :premises (t1074))
% 23.33/23.62 (step t1076 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule and_neg)
% 23.33/23.62 (step t1077 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule implies_neg1)
% 23.33/23.62 (anchor :step t1078)
% 23.33/23.62 (assume t1078.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 23.33/23.62 (assume t1078.a1 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 23.33/23.62 (assume t1078.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))
% 23.33/23.62 (assume t1078.a3 (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)))
% 23.33/23.62 (assume t1078.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 23.33/23.62 (assume t1078.a5 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 23.33/23.62 (assume t1078.a6 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))
% 23.33/23.62 (assume t1078.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))
% 23.33/23.62 (assume t1078.a8 (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))
% 23.33/23.62 (assume t1078.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))
% 23.33/23.62 (step t1078.t1 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) :rule implies_neg1)
% 23.33/23.62 (anchor :step t1078.t2)
% 23.33/23.62 (assume t1078.t2.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 23.33/23.62 (assume t1078.t2.a1 (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)))
% 23.33/23.62 (assume t1078.t2.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 23.33/23.62 (assume t1078.t2.a3 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 23.33/23.62 (assume t1078.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 23.33/23.62 (assume t1078.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))
% 23.33/23.62 (assume t1078.t2.a6 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))
% 23.33/23.62 (assume t1078.t2.a7 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))
% 23.33/23.62 (assume t1078.t2.a8 (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))
% 23.33/23.62 (assume t1078.t2.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))
% 23.33/23.62 (step t1078.t2.t1 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t1078.t2.a4))
% 23.33/23.62 (step t1078.t2.t2 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 23.33/23.62 (step t1078.t2.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t1078.t2.t1 t1078.t2.t2))
% 23.33/23.62 (step t1078.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7))) :rule symm :premises (t1078.t2.t3))
% 23.33/23.62 (step t1078.t2.t5 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c5)) :rule symm :premises (t1078.t2.a1))
% 23.33/23.62 (step t1078.t2.t6 (cl (= (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t1078.t2.t5 t1078.t2.a0))
% 23.33/23.62 (step t1078.t2.t7 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 23.33/23.62 (step t1078.t2.t8 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t1078.t2.t5))
% 23.33/23.62 (step t1078.t2.t9 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule refl)
% 23.33/23.62 (step t1078.t2.t10 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule cong :premises (t1078.t2.t8 t1078.t2.t9))
% 23.33/23.62 (step t1078.t2.t11 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule symm :premises (t1078.t2.t10))
% 23.33/23.62 (step t1078.t2.t12 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule trans :premises (t1078.t2.a3 t1078.t2.t4 t1078.t2.a5 t1078.t2.t11))
% 23.33/23.62 (step t1078.t2.t13 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule cong :premises (t1078.t2.t7 t1078.t2.t12))
% 23.33/23.62 (step t1078.t2.t14 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule symm :premises (t1078.t2.a8))
% 23.33/23.62 (step t1078.t2.t15 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t1078.t2.a7))
% 23.33/23.62 (step t1078.t2.t16 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule cong :premises (t1078.t2.t15 t1078.t2.t9))
% 23.33/23.62 (step t1078.t2.t17 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule cong :premises (t1078.t2.a2 t1078.t2.t9))
% 23.33/23.62 (step t1078.t2.t18 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule symm :premises (t1078.t2.a9))
% 23.33/23.62 (step t1078.t2.t19 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule symm :premises (t1078.t2.t18))
% 23.33/23.62 (step t1078.t2.t20 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 23.33/23.62 (step t1078.t2.t21 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule trans :premises (t1078.t2.t13 t1078.t2.t14 t1078.t2.t16))
% 23.33/23.62 (step t1078.t2.t22 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule cong :premises (t1078.t2.t2 t1078.t2.t21))
% 23.33/23.62 (step t1078.t2.t23 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule symm :premises (t1078.t2.a6))
% 23.33/23.62 (step t1078.t2.t24 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5)) :rule symm :premises (t1078.t2.a0))
% 23.33/23.62 (step t1078.t2.t25 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule cong :premises (t1078.t2.t24 t1078.t2.t9))
% 23.33/23.62 (step t1078.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7))) :rule symm :premises (t1078.t2.a5))
% 23.33/23.62 (step t1078.t2.t27 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t1078.t2.a3))
% 23.33/23.62 (step t1078.t2.t28 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) tptp.sk_c7)) :rule trans :premises (t1078.t2.t22 t1078.t2.t23 t1078.t2.t25 t1078.t2.t10 t1078.t2.t26 t1078.t2.t3 t1078.t2.t27))
% 23.33/23.62 (step t1078.t2.t29 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule cong :premises (t1078.t2.t20 t1078.t2.t28))
% 23.33/23.62 (step t1078.t2.t30 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t1078.t2.a2))
% 23.33/23.62 (step t1078.t2.t31 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t1078.t2.t13 t1078.t2.t14 t1078.t2.t16 t1078.t2.t17 t1078.t2.t19 t1078.t2.t29 t1078.t2.t30))
% 23.33/23.62 (step t1078.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6))) :rule cong :premises (t1078.t2.t6 t1078.t2.t31))
% 23.33/23.62 (step t1078.t2.t33 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 23.33/23.62 (step t1078.t2.t34 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule cong :premises (t1078.t2.t24 t1078.t2.t33))
% 23.33/23.62 (step t1078.t2.t35 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule trans :premises (t1078.t2.a3 t1078.t2.t4 t1078.t2.a5 t1078.t2.t32 t1078.t2.t34))
% 23.33/23.62 (step t1078.t2 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule subproof :discharge (t1078.t2.a0 t1078.t2.a1 t1078.t2.a2 t1078.t2.a3 t1078.t2.a4 t1078.t2.a5 t1078.t2.a6 t1078.t2.a7 t1078.t2.a8 t1078.t2.a9))
% 23.33/23.62 (step t1078.t3 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 23.33/23.62 (step t1078.t4 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 23.33/23.62 (step t1078.t5 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 23.33/23.62 (step t1078.t6 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 23.33/23.62 (step t1078.t7 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 23.33/23.62 (step t1078.t8 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule and_pos)
% 23.33/23.62 (step t1078.t9 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule and_pos)
% 23.33/23.62 (step t1078.t10 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule and_pos)
% 23.33/23.62 (step t1078.t11 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule and_pos)
% 23.33/23.62 (step t1078.t12 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule and_pos)
% 23.33/23.62 (step t1078.t13 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))))) :rule resolution :premises (t1078.t2 t1078.t3 t1078.t4 t1078.t5 t1078.t6 t1078.t7 t1078.t8 t1078.t9 t1078.t10 t1078.t11 t1078.t12))
% 23.33/23.62 (step t1078.t14 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule reordering :premises (t1078.t13))
% 23.33/23.62 (step t1078.t15 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule contraction :premises (t1078.t14))
% 23.33/23.62 (step t1078.t16 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule resolution :premises (t1078.t1 t1078.t15))
% 23.33/23.62 (step t1078.t17 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule implies_neg2)
% 23.33/23.62 (step t1078.t18 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule resolution :premises (t1078.t16 t1078.t17))
% 23.33/23.62 (step t1078.t19 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule contraction :premises (t1078.t18))
% 23.33/23.62 (step t1078.t20 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule implies :premises (t1078.t19))
% 23.33/23.62 (step t1078.t21 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) :rule and_neg)
% 23.33/23.62 (step t1078.t22 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) :rule resolution :premises (t1078.t21 t1078.a0 t1078.a3 t1078.a1 t1078.a5 t1078.a4 t1078.a9 t1078.a6 t1078.a2 t1078.a8 t1078.a7))
% 23.33/23.62 (step t1078.t23 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule resolution :premises (t1078.t20 t1078.t22))
% 23.33/23.62 (step t1078 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule subproof :discharge (t1078.a0 t1078.a1 t1078.a2 t1078.a3 t1078.a4 t1078.a5 t1078.a6 t1078.a7 t1078.a8 t1078.a9))
% 23.33/23.62 (step t1079 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 23.33/23.62 (step t1080 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 23.33/23.62 (step t1081 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule and_pos)
% 23.33/23.62 (step t1082 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 23.33/23.62 (step t1083 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 23.33/23.62 (step t1084 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 23.33/23.62 (step t1085 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule and_pos)
% 23.33/23.62 (step t1086 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule and_pos)
% 23.38/23.62 (step t1087 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule and_pos)
% 23.38/23.62 (step t1088 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule and_pos)
% 23.38/23.62 (step t1089 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) :rule resolution :premises (t1078 t1079 t1080 t1081 t1082 t1083 t1084 t1085 t1086 t1087 t1088))
% 23.38/23.62 (step t1090 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule reordering :premises (t1089))
% 23.38/23.62 (step t1091 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule contraction :premises (t1090))
% 23.38/23.62 (step t1092 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule resolution :premises (t1077 t1091))
% 23.38/23.62 (step t1093 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule implies_neg2)
% 23.38/23.62 (step t1094 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule resolution :premises (t1092 t1093))
% 23.38/23.62 (step t1095 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule contraction :premises (t1094))
% 23.38/23.62 (step t1096 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule implies :premises (t1095))
% 23.38/23.62 (step t1097 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule resolution :premises (t1076 t1096))
% 23.38/23.62 (step t1098 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule reordering :premises (t1097))
% 23.38/23.62 (step t1099 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule implies_neg1)
% 23.38/23.62 (anchor :step t1100)
% 23.38/23.62 (assume t1100.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 23.38/23.62 (assume t1100.a1 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 23.38/23.62 (assume t1100.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))
% 23.38/23.62 (assume t1100.a3 (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)))
% 23.38/23.62 (assume t1100.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 23.38/23.62 (assume t1100.a5 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 23.38/23.62 (assume t1100.a6 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))
% 23.38/23.62 (assume t1100.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))
% 23.38/23.62 (assume t1100.a8 (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))
% 23.38/23.62 (assume t1100.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))
% 23.38/23.62 (step t1100.t1 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) :rule implies_neg1)
% 23.38/23.62 (anchor :step t1100.t2)
% 23.38/23.62 (assume t1100.t2.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 23.38/23.62 (assume t1100.t2.a1 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 23.38/23.62 (assume t1100.t2.a2 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 23.38/23.62 (assume t1100.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 23.38/23.62 (assume t1100.t2.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))
% 23.38/23.62 (assume t1100.t2.a5 (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)))
% 23.38/23.62 (assume t1100.t2.a6 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))
% 23.38/23.62 (assume t1100.t2.a7 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))
% 23.38/23.62 (assume t1100.t2.a8 (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))
% 23.38/23.62 (assume t1100.t2.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))
% 23.38/23.62 (step t1100.t2.t1 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 23.38/23.62 (step t1100.t2.t2 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t1100.t2.a3))
% 23.38/23.62 (step t1100.t2.t3 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 23.38/23.62 (step t1100.t2.t4 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t1100.t2.t2 t1100.t2.t3))
% 23.38/23.62 (step t1100.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7))) :rule symm :premises (t1100.t2.t4))
% 23.38/23.62 (step t1100.t2.t6 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c5)) :rule symm :premises (t1100.t2.a5))
% 23.38/23.62 (step t1100.t2.t7 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t1100.t2.t6))
% 23.38/23.62 (step t1100.t2.t8 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule refl)
% 23.38/23.62 (step t1100.t2.t9 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule cong :premises (t1100.t2.t7 t1100.t2.t8))
% 23.38/23.62 (step t1100.t2.t10 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule symm :premises (t1100.t2.t9))
% 23.38/23.62 (step t1100.t2.t11 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5)) :rule symm :premises (t1100.t2.a0))
% 23.38/23.62 (step t1100.t2.t12 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule cong :premises (t1100.t2.t11 t1100.t2.t8))
% 23.38/23.62 (step t1100.t2.t13 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule symm :premises (t1100.t2.t12))
% 23.38/23.62 (step t1100.t2.t14 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule cong :premises (t1100.t2.a1 t1100.t2.t8))
% 23.38/23.62 (step t1100.t2.t15 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule symm :premises (t1100.t2.a9))
% 23.38/23.62 (step t1100.t2.t16 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule symm :premises (t1100.t2.t15))
% 23.38/23.62 (step t1100.t2.t17 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 23.38/23.62 (step t1100.t2.t18 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule trans :premises (t1100.t2.a2 t1100.t2.t5 t1100.t2.a4 t1100.t2.t10))
% 23.38/23.62 (step t1100.t2.t19 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule cong :premises (t1100.t2.t17 t1100.t2.t18))
% 23.38/23.62 (step t1100.t2.t20 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule symm :premises (t1100.t2.a8))
% 23.38/23.62 (step t1100.t2.t21 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t1100.t2.a7))
% 23.38/23.62 (step t1100.t2.t22 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule cong :premises (t1100.t2.t21 t1100.t2.t8))
% 23.38/23.62 (step t1100.t2.t23 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule trans :premises (t1100.t2.t19 t1100.t2.t20 t1100.t2.t22))
% 23.38/23.62 (step t1100.t2.t24 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule cong :premises (t1100.t2.t3 t1100.t2.t23))
% 23.38/23.62 (step t1100.t2.t25 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule symm :premises (t1100.t2.a6))
% 23.38/23.62 (step t1100.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7))) :rule symm :premises (t1100.t2.a4))
% 23.38/23.62 (step t1100.t2.t27 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t1100.t2.a2))
% 23.38/23.62 (step t1100.t2.t28 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) tptp.sk_c7)) :rule trans :premises (t1100.t2.t24 t1100.t2.t25 t1100.t2.t12 t1100.t2.t9 t1100.t2.t26 t1100.t2.t4 t1100.t2.t27))
% 23.38/23.62 (step t1100.t2.t29 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule cong :premises (t1100.t2.t1 t1100.t2.t28))
% 23.38/23.62 (step t1100.t2.t30 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t1100.t2.a1))
% 23.38/23.62 (step t1100.t2.t31 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) tptp.sk_c6)) :rule trans :premises (t1100.t2.t14 t1100.t2.t16 t1100.t2.t29 t1100.t2.t30))
% 23.38/23.62 (step t1100.t2.t32 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t1100.t2.t3 t1100.t2.t31))
% 23.38/23.62 (step t1100.t2.t33 (cl (= tptp.sk_c7 tptp.sk_c5)) :rule trans :premises (t1100.t2.a2 t1100.t2.t5 t1100.t2.a4 t1100.t2.t10 t1100.t2.t13 t1100.t2.a6 t1100.t2.t32 t1100.t2.t11))
% 23.38/23.62 (step t1100.t2.t34 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule cong :premises (t1100.t2.t1 t1100.t2.t33))
% 23.38/23.62 (step t1100.t2.t35 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule trans :premises (t1100.t2.a1 t1100.t2.t34))
% 23.38/23.62 (step t1100.t2 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule subproof :discharge (t1100.t2.a0 t1100.t2.a1 t1100.t2.a2 t1100.t2.a3 t1100.t2.a4 t1100.t2.a5 t1100.t2.a6 t1100.t2.a7 t1100.t2.a8 t1100.t2.a9))
% 23.38/23.62 (step t1100.t3 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 23.38/23.62 (step t1100.t4 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 23.38/23.62 (step t1100.t5 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 23.38/23.62 (step t1100.t6 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 23.38/23.62 (step t1100.t7 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule and_pos)
% 23.38/23.62 (step t1100.t8 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 23.38/23.62 (step t1100.t9 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule and_pos)
% 23.38/23.62 (step t1100.t10 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule and_pos)
% 23.38/23.62 (step t1100.t11 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule and_pos)
% 23.38/23.62 (step t1100.t12 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule and_pos)
% 23.38/23.62 (step t1100.t13 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))))) :rule resolution :premises (t1100.t2 t1100.t3 t1100.t4 t1100.t5 t1100.t6 t1100.t7 t1100.t8 t1100.t9 t1100.t10 t1100.t11 t1100.t12))
% 23.38/23.62 (step t1100.t14 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule reordering :premises (t1100.t13))
% 23.38/23.62 (step t1100.t15 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule contraction :premises (t1100.t14))
% 23.38/23.62 (step t1100.t16 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t1100.t1 t1100.t15))
% 23.38/23.62 (step t1100.t17 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule implies_neg2)
% 23.38/23.62 (step t1100.t18 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule resolution :premises (t1100.t16 t1100.t17))
% 23.38/23.62 (step t1100.t19 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule contraction :premises (t1100.t18))
% 23.38/23.62 (step t1100.t20 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule implies :premises (t1100.t19))
% 23.38/23.62 (step t1100.t21 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) :rule and_neg)
% 23.38/23.62 (step t1100.t22 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) :rule resolution :premises (t1100.t21 t1100.a0 t1100.a1 t1100.a5 t1100.a4 t1100.a9 t1100.a3 t1100.a6 t1100.a2 t1100.a8 t1100.a7))
% 23.38/23.62 (step t1100.t23 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t1100.t20 t1100.t22))
% 23.38/23.62 (step t1100 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule subproof :discharge (t1100.a0 t1100.a1 t1100.a2 t1100.a3 t1100.a4 t1100.a5 t1100.a6 t1100.a7 t1100.a8 t1100.a9))
% 23.38/23.62 (step t1101 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 23.38/23.62 (step t1102 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 23.38/23.62 (step t1103 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule and_pos)
% 23.38/23.62 (step t1104 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 23.38/23.62 (step t1105 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 23.38/23.62 (step t1106 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 23.38/23.62 (step t1107 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule and_pos)
% 23.38/23.62 (step t1108 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule and_pos)
% 23.38/23.62 (step t1109 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule and_pos)
% 23.38/23.62 (step t1110 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule and_pos)
% 23.38/23.62 (step t1111 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) :rule resolution :premises (t1100 t1101 t1102 t1103 t1104 t1105 t1106 t1107 t1108 t1109 t1110))
% 23.38/23.62 (step t1112 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule reordering :premises (t1111))
% 23.38/23.62 (step t1113 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule contraction :premises (t1112))
% 23.38/23.62 (step t1114 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t1099 t1113))
% 23.38/23.62 (step t1115 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule implies_neg2)
% 23.38/23.62 (step t1116 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule resolution :premises (t1114 t1115))
% 23.38/23.62 (step t1117 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule contraction :premises (t1116))
% 23.38/23.62 (step t1118 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule implies :premises (t1117))
% 23.38/23.62 (step t1119 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t1076 t1118))
% 23.38/23.62 (step t1120 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule and_neg)
% 23.38/23.62 (step t1121 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule implies_neg1)
% 23.38/23.62 (anchor :step t1122)
% 23.38/23.62 (assume t1122.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 23.38/23.62 (assume t1122.a1 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 23.38/23.62 (assume t1122.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 23.38/23.62 (assume t1122.a3 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))
% 23.38/23.62 (assume t1122.a4 (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)))
% 23.38/23.62 (assume t1122.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 23.38/23.62 (assume t1122.a6 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 23.38/23.62 (assume t1122.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))
% 23.38/23.62 (assume t1122.a8 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))
% 23.38/23.62 (assume t1122.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))
% 23.38/23.62 (assume t1122.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))
% 23.38/23.62 (step t1122.t1 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) :rule implies_neg1)
% 23.38/23.62 (anchor :step t1122.t2)
% 23.38/23.62 (assume t1122.t2.a0 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 23.38/23.62 (assume t1122.t2.a1 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 23.38/23.62 (assume t1122.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 23.38/23.62 (assume t1122.t2.a3 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))
% 23.38/23.62 (assume t1122.t2.a4 (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)))
% 23.38/23.62 (assume t1122.t2.a5 (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 23.38/23.62 (assume t1122.t2.a6 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))
% 23.38/23.62 (assume t1122.t2.a7 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 23.38/23.62 (assume t1122.t2.a8 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))
% 23.38/23.62 (assume t1122.t2.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))
% 23.38/23.62 (assume t1122.t2.a10 (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))
% 23.38/23.62 (step t1122.t2.t1 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 23.38/23.62 (step t1122.t2.t2 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 23.38/23.62 (step t1122.t2.t3 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t1122.t2.a2))
% 23.38/23.62 (step t1122.t2.t4 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t1122.t2.t3 t1122.t2.t1))
% 23.38/23.62 (step t1122.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7))) :rule symm :premises (t1122.t2.t4))
% 23.38/23.62 (step t1122.t2.t6 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c5)) :rule symm :premises (t1122.t2.a4))
% 23.38/23.62 (step t1122.t2.t7 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t1122.t2.t6))
% 23.38/23.62 (step t1122.t2.t8 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule refl)
% 23.38/23.62 (step t1122.t2.t9 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule cong :premises (t1122.t2.t7 t1122.t2.t8))
% 23.38/23.62 (step t1122.t2.t10 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule symm :premises (t1122.t2.t9))
% 23.38/23.62 (step t1122.t2.t11 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5)) :rule symm :premises (t1122.t2.a5))
% 23.38/23.62 (step t1122.t2.t12 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule cong :premises (t1122.t2.t11 t1122.t2.t8))
% 23.38/23.62 (step t1122.t2.t13 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule symm :premises (t1122.t2.t12))
% 23.38/23.62 (step t1122.t2.t14 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t1122.t2.a10))
% 23.38/23.62 (step t1122.t2.t15 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule symm :premises (t1122.t2.t14))
% 23.38/23.62 (step t1122.t2.t16 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule cong :premises (t1122.t2.t15 t1122.t2.t8))
% 23.38/23.62 (step t1122.t2.t17 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule symm :premises (t1122.t2.a9))
% 23.38/23.62 (step t1122.t2.t18 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule symm :premises (t1122.t2.t17))
% 23.38/23.62 (step t1122.t2.t19 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 23.38/23.62 (step t1122.t2.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7))) :rule symm :premises (t1122.t2.a3))
% 23.38/23.62 (step t1122.t2.t21 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t1122.t2.a1))
% 23.38/23.62 (step t1122.t2.t22 (cl (= (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) tptp.sk_c7)) :rule trans :premises (t1122.t2.t9 t1122.t2.t20 t1122.t2.t4 t1122.t2.t21))
% 23.38/23.62 (step t1122.t2.t23 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule cong :premises (t1122.t2.t19 t1122.t2.t22))
% 23.38/23.62 (step t1122.t2.t24 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) :rule trans :premises (t1122.t2.t16 t1122.t2.t18 t1122.t2.t23))
% 23.38/23.62 (step t1122.t2.t25 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule cong :premises (t1122.t2.t1 t1122.t2.t24))
% 23.38/23.62 (step t1122.t2.t26 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule trans :premises (t1122.t2.a1 t1122.t2.t5 t1122.t2.a3 t1122.t2.t10 t1122.t2.t13 t1122.t2.a6 t1122.t2.t25))
% 23.38/23.62 (step t1122.t2.t27 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule cong :premises (t1122.t2.t2 t1122.t2.t26))
% 23.38/23.62 (step t1122.t2.t28 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule symm :premises (t1122.t2.a8))
% 23.38/23.62 (step t1122.t2.t29 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule symm :premises (t1122.t2.t28))
% 23.38/23.62 (step t1122.t2.t30 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule symm :premises (t1122.t2.t29))
% 23.38/23.62 (step t1122.t2.t31 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t1122.t2.a7))
% 23.38/23.62 (step t1122.t2.t32 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule cong :premises (t1122.t2.t31 t1122.t2.t8))
% 23.38/23.62 (step t1122.t2.t33 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule trans :premises (t1122.t2.a7 t1122.t2.t27 t1122.t2.t30 t1122.t2.t32))
% 23.38/23.62 (step t1122.t2.t34 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule cong :premises (t1122.t2.t1 t1122.t2.t33))
% 23.38/23.62 (step t1122.t2.t35 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule symm :premises (t1122.t2.a6))
% 23.38/23.62 (step t1122.t2.t36 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t1122.t2.a0))
% 23.38/23.62 (step t1122.t2.t37 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t1122.t2.t36))
% 23.38/23.62 (step t1122.t2.t38 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule trans :premises (t1122.t2.a5 t1122.t2.t34 t1122.t2.t35 t1122.t2.t12 t1122.t2.t9 t1122.t2.t20 t1122.t2.t4 t1122.t2.t21 t1122.t2.t37))
% 23.38/23.62 (step t1122.t2 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule subproof :discharge (t1122.t2.a0 t1122.t2.a1 t1122.t2.a2 t1122.t2.a3 t1122.t2.a4 t1122.t2.a5 t1122.t2.a6 t1122.t2.a7 t1122.t2.a8 t1122.t2.a9 t1122.t2.a10))
% 23.38/23.62 (step t1122.t3 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 23.38/23.62 (step t1122.t4 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 23.38/23.62 (step t1122.t5 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 23.38/23.62 (step t1122.t6 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule and_pos)
% 23.38/23.62 (step t1122.t7 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 23.38/23.62 (step t1122.t8 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 23.38/23.62 (step t1122.t9 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule and_pos)
% 23.38/23.62 (step t1122.t10 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 23.38/23.62 (step t1122.t11 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule and_pos)
% 23.38/23.62 (step t1122.t12 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule and_pos)
% 23.38/23.62 (step t1122.t13 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule and_pos)
% 23.38/23.62 (step t1122.t14 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))))) :rule resolution :premises (t1122.t2 t1122.t3 t1122.t4 t1122.t5 t1122.t6 t1122.t7 t1122.t8 t1122.t9 t1122.t10 t1122.t11 t1122.t12 t1122.t13))
% 23.38/23.62 (step t1122.t15 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t1122.t14))
% 23.38/23.62 (step t1122.t16 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t1122.t15))
% 23.38/23.62 (step t1122.t17 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t1122.t1 t1122.t16))
% 23.38/23.62 (step t1122.t18 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))) :rule implies_neg2)
% 23.38/23.62 (step t1122.t19 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t1122.t17 t1122.t18))
% 23.38/23.62 (step t1122.t20 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t1122.t19))
% 23.38/23.62 (step t1122.t21 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule implies :premises (t1122.t20))
% 23.38/23.62 (step t1122.t22 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) :rule and_neg)
% 23.38/23.62 (step t1122.t23 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) :rule resolution :premises (t1122.t22 t1122.a2 t1122.a6 t1122.a5 t1122.a10 t1122.a4 t1122.a0 t1122.a7 t1122.a1 t1122.a8 t1122.a9 t1122.a3))
% 23.38/23.62 (step t1122.t24 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t1122.t21 t1122.t23))
% 23.38/23.62 (step t1122 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule subproof :discharge (t1122.a0 t1122.a1 t1122.a2 t1122.a3 t1122.a4 t1122.a5 t1122.a6 t1122.a7 t1122.a8 t1122.a9 t1122.a10))
% 23.38/23.62 (step t1123 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 23.38/23.62 (step t1124 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 23.38/23.62 (step t1125 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 23.38/23.62 (step t1126 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule and_pos)
% 23.38/23.62 (step t1127 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 23.38/23.62 (step t1128 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 23.38/23.62 (step t1129 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 23.38/23.62 (step t1130 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule and_pos)
% 23.38/23.62 (step t1131 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule and_pos)
% 23.38/23.62 (step t1132 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) :rule and_pos)
% 23.38/23.62 (step t1133 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) :rule and_pos)
% 23.38/23.62 (step t1134 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))))) :rule resolution :premises (t1122 t1123 t1124 t1125 t1126 t1127 t1128 t1129 t1130 t1131 t1132 t1133))
% 23.38/23.62 (step t1135 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t1134))
% 23.38/23.62 (step t1136 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t1135))
% 23.38/23.62 (step t1137 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t1121 t1136))
% 23.38/23.62 (step t1138 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))) :rule implies_neg2)
% 23.38/23.62 (step t1139 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t1137 t1138))
% 23.38/23.62 (step t1140 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t1139))
% 23.38/23.62 (step t1141 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule implies :premises (t1140))
% 23.38/23.62 (step t1142 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c2 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t1120 t1141))
% 23.38/23.62 (step t1143 (cl (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t670 t1119 t1011 t1019 t1027 t1035 t483 t852 t1142 t1011 t1019 t1027 t1035 t483 t852))
% 23.38/23.62 (step t1144 (cl (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t1143))
% 23.38/23.62 (step t1145 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))))) :rule reordering :premises (t1144))
% 23.38/23.62 (step t1146 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t165 t171 t970 t1003 t427 t435 t443 t459 t467 t1011 t1019 t836 t1027 t844 t1035 t483 t852 t491 t1043 t499 t1075 t427 t435 t443 t459 t467 t1011 t1019 t836 t1027 t844 t1035 t483 t852 t491 t1043 t499 t1098 t1011 t1019 t1027 t1035 t483 t852 t668 t1145 t743 t745))
% 23.38/23.62 (step t1147 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t1146))
% 23.38/23.62 (step t1148 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)))) :rule reordering :premises (t1147))
% 23.38/23.62 (step t1149 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) :rule resolution :premises (t969 t1148))
% 23.38/23.62 (step t1150 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t1149))
% 23.38/23.62 (step t1151 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) :rule reordering :premises (t1150))
% 23.38/23.62 (step t1152 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t747 t1151))
% 23.38/23.62 (step t1153 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t1152))
% 23.38/23.62 (step t1154 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 (tptp.inverse tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (tptp.multiply (tptp.inverse (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) (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.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.inverse (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4))) (tptp.multiply (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.inverse tptp.sk_c4)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4))) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (tptp.inverse tptp.sk_c4)))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) :rule or :premises (t308))
% 23.38/23.62 (step t1155 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.inverse X2)))) (not (= tptp.sk_c6 (tptp.multiply (tptp.inverse X2) tptp.sk_c5)))))) :rule or :premises (t143))
% 23.38/23.62 (step t1156 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule resolution :premises (t1154 t317 t325 t336 t344 t352 t363 t371 t379 t387 t395 t403 t411 t419 t427 t435 t443 t451 t459 t467 t475 t483 t491 t499 t507 t515 t167 t151 t1155 t158 t169 t582 t317 t325 t336 t344 t352 t363 t371 t379 t387 t395 t403 t411 t419 t427 t435 t443 t451 t459 t467 t475 t483 t491 t499 t507 t515 t539 t395 t403 t411 t419 t483 t515 t165 t171 t614 t387 t395 t403 t411 t419 t427 t435 t443 t459 t467 t483 t491 t499 t507 t515 t632 t387 t491 t507))
% 23.38/23.62 (step t1157 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule contraction :premises (t1156))
% 23.38/23.62 (step t1158 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7))) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule equiv_pos2)
% 23.38/23.62 (step t1159 (cl (= (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule all_simplify)
% 23.38/23.62 (step t1160 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t1159 t126))
% 23.38/23.62 (step t1161 (cl (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule resolution :premises (t1158 t1160 a11))
% 23.38/23.62 (step t1162 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule or :premises (t1161))
% 23.38/23.62 (step t1163 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t1162))
% 23.38/23.62 (step t1164 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6))) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule equiv_pos2)
% 23.38/23.62 (step t1165 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule cong :premises (t1159 t643))
% 23.38/23.62 (step t1166 (cl (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule resolution :premises (t1164 t1165 a14))
% 23.38/23.62 (step t1167 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule or :premises (t1166))
% 23.38/23.62 (step t1168 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t1167))
% 23.38/23.62 (step t1169 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6))) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule equiv_pos2)
% 23.38/23.62 (step t1170 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) :rule cong :premises (t1159 t637))
% 23.38/23.62 (step t1171 (cl (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule resolution :premises (t1169 t1170 a12))
% 23.38/23.62 (step t1172 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule or :premises (t1171))
% 23.38/23.62 (step t1173 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t1172))
% 23.38/23.62 (step t1174 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c3) tptp.sk_c4)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c3) tptp.sk_c4))) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))) :rule equiv_pos2)
% 23.38/23.62 (step t1175 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c3) tptp.sk_c4)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t1159 t649))
% 23.38/23.62 (step t1176 (cl (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t1174 t1175 a13))
% 23.38/23.62 (step t1177 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule or :premises (t1176))
% 23.38/23.62 (step t1178 (cl (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t1177))
% 23.38/23.62 (step t1179 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t1157 t1163 t1168 t1173 t1178))
% 23.38/23.62 (step t1180 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t1179))
% 23.38/23.62 (step t1181 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule reordering :premises (t1180))
% 23.38/23.62 (step t1182 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule resolution :premises (t660 t1153 t1181))
% 23.38/23.62 (step t1183 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule contraction :premises (t1182))
% 23.38/23.62 (step t1184 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule resolution :premises (t129 t1183))
% 23.38/23.62 (step t1185 (cl (not (= (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5) (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6)) (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) (not (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5) (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6))) (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule equiv_pos2)
% 23.38/23.62 (step t1186 (cl (= (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5) (= (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c6)) (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))))) :rule cong :premises (t125 t637))
% 23.38/23.62 (step t1187 (cl (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4)))) :rule resolution :premises (t1185 t1186 a4))
% 23.38/23.62 (step t1188 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule or :premises (t1187))
% 23.38/23.62 (step t1189 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) :rule resolution :premises (t1188 t1183))
% 23.38/23.62 (step t1190 (cl (not (= (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5) (= (tptp.inverse tptp.sk_c3) tptp.sk_c4)) (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))))) (not (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5) (= (tptp.inverse tptp.sk_c3) tptp.sk_c4))) (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))) :rule equiv_pos2)
% 23.38/23.62 (step t1191 (cl (= (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5) (= (tptp.inverse tptp.sk_c3) tptp.sk_c4)) (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t125 t649))
% 23.38/23.62 (step t1192 (cl (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t1190 t1191 a5))
% 23.38/23.62 (step t1193 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule or :premises (t1192))
% 23.38/23.62 (step t1194 (cl (= tptp.sk_c4 (tptp.inverse tptp.sk_c3))) :rule resolution :premises (t1193 t1183))
% 23.38/23.62 (step t1195 (cl (not (= (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6))) (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule equiv_pos2)
% 23.38/23.62 (step t1196 (cl (= (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule cong :premises (t125 t643))
% 23.38/23.62 (step t1197 (cl (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule resolution :premises (t1195 t1196 a6))
% 23.38/23.62 (step t1198 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule or :premises (t1197))
% 23.38/23.62 (step t1199 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule resolution :premises (t1198 t1183))
% 23.38/23.62 (step t1200 (cl (not (= (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c7 tptp.sk_c5)) (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))))) (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c7 tptp.sk_c5)) (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule equiv_pos2)
% 23.38/23.62 (step t1201 (cl (= (not (= tptp.sk_c7 tptp.sk_c5)) (not (= tptp.sk_c7 tptp.sk_c5)))) :rule refl)
% 23.38/23.62 (step t1202 (cl (= (= (= (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) true) (= (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule equiv_simplify)
% 23.38/23.62 (step t1203 (cl (not (= (= (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) true)) (= (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule equiv1 :premises (t1202))
% 23.38/23.62 (step t1204 (cl (= (= (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))) :rule all_simplify)
% 23.38/23.62 (step t1205 (cl (= (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule refl)
% 23.38/23.62 (step t1206 (cl (= (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule all_simplify)
% 23.38/23.62 (step t1207 (cl (= (= (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule cong :premises (t1205 t1206))
% 23.38/23.62 (step t1208 (cl (= (= (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) true)) :rule all_simplify)
% 23.38/23.62 (step t1209 (cl (= (= (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) true)) :rule trans :premises (t1207 t1208))
% 23.38/23.62 (step t1210 (cl (= (= (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) true)) :rule trans :premises (t1204 t1209))
% 23.38/23.62 (step t1211 (cl (= (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule resolution :premises (t1203 t1210))
% 23.38/23.62 (step t1212 (cl (= (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c7 tptp.sk_c5)) (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))))) :rule cong :premises (t174 t1201 t1211 t179))
% 23.38/23.62 (step t1213 (cl (not (= (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c7 tptp.sk_c5) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c7 tptp.sk_c5) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))))) (not (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c7 tptp.sk_c5) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c7 tptp.sk_c5) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule equiv_pos2)
% 23.38/23.62 (step t1214 (cl (= (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c7 tptp.sk_c5) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c7 tptp.sk_c5) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule refl)
% 23.38/23.62 (step t1215 (cl (= (= (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) false) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))) :rule equiv_simplify)
% 23.38/23.62 (step t1216 (cl (= (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) false) (not (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))) :rule equiv2 :premises (t1215))
% 23.38/23.62 (step t1217 (cl (not (not (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))) (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule not_not)
% 23.38/23.62 (step t1218 (cl (= (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) false) (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule resolution :premises (t1216 t1217))
% 23.38/23.62 (step t1219 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) false) (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule implies_neg1)
% 23.38/23.62 (anchor :step t1220)
% 23.38/23.62 (assume t1220.a0 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 23.38/23.62 (assume t1220.a1 (= tptp.sk_c7 tptp.sk_c5))
% 23.38/23.62 (assume t1220.a2 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))
% 23.38/23.62 (assume t1220.a3 (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))
% 23.38/23.62 (step t1220.t1 (cl (not (= (= false true) false)) (not (= false true)) false) :rule equiv_pos2)
% 23.38/23.62 (step t1220.t2 (cl (= (= false true) false)) :rule all_simplify)
% 23.38/23.62 (step t1220.t3 (cl (= (= (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) false) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule equiv_simplify)
% 23.38/23.62 (step t1220.t4 (cl (= (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) false) (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule equiv2 :premises (t1220.t3))
% 23.38/23.62 (step t1220.t5 (cl (not (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule not_not)
% 23.38/23.62 (step t1220.t6 (cl (= (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) false) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule resolution :premises (t1220.t4 t1220.t5))
% 23.38/23.62 (step t1220.t7 (cl (= (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) false)) :rule resolution :premises (t1220.t6 t1220.a3))
% 23.38/23.62 (step t1220.t8 (cl (= false (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule symm :premises (t1220.t7))
% 23.38/23.62 (step t1220.t9 (cl (= (= (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) true) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule equiv_simplify)
% 23.38/23.62 (step t1220.t10 (cl (= (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) true) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule equiv2 :premises (t1220.t9))
% 23.38/23.62 (step t1220.t11 (cl (= tptp.sk_c5 tptp.sk_c7)) :rule symm :premises (t1220.a1))
% 23.38/23.62 (step t1220.t12 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t1220.a0))
% 23.38/23.62 (step t1220.t13 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule symm :premises (t1220.t12))
% 23.38/23.62 (step t1220.t14 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t1220.a2))
% 23.38/23.62 (step t1220.t15 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c7))) :rule trans :premises (t1220.t14 t1220.t13))
% 23.38/23.62 (step t1220.t16 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule symm :premises (t1220.t15))
% 23.38/23.62 (step t1220.t17 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule trans :premises (t1220.t11 t1220.t13 t1220.t16))
% 23.38/23.62 (step t1220.t18 (cl (= (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) true)) :rule resolution :premises (t1220.t10 t1220.t17))
% 23.38/23.62 (step t1220.t19 (cl (= false true)) :rule trans :premises (t1220.t8 t1220.t18))
% 23.38/23.62 (step t1220.t20 (cl false) :rule resolution :premises (t1220.t1 t1220.t2 t1220.t19))
% 23.38/23.62 (step t1220 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c7 tptp.sk_c5)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) false) :rule subproof :discharge (t1220.a0 t1220.a1 t1220.a2 t1220.a3))
% 23.38/23.62 (step t1221 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 23.38/23.62 (step t1222 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.sk_c7 tptp.sk_c5)) :rule and_pos)
% 23.38/23.62 (step t1223 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule and_pos)
% 23.38/23.62 (step t1224 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_pos)
% 23.38/23.62 (step t1225 (cl false (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule resolution :premises (t1220 t1221 t1222 t1223 t1224))
% 23.38/23.62 (step t1226 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) false) :rule reordering :premises (t1225))
% 23.38/23.62 (step t1227 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) false) :rule contraction :premises (t1226))
% 23.38/23.62 (step t1228 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) false) false) :rule resolution :premises (t1219 t1227))
% 23.38/23.62 (step t1229 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) false) (not false)) :rule implies_neg2)
% 23.38/23.62 (step t1230 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) false) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) false)) :rule resolution :premises (t1228 t1229))
% 23.38/23.62 (step t1231 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) false)) :rule contraction :premises (t1230))
% 23.38/23.62 (step t1232 (cl (= (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) false) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))))) :rule implies_simplify)
% 23.38/23.62 (step t1233 (cl (not (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) false)) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule equiv1 :premises (t1232))
% 23.38/23.62 (step t1234 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule resolution :premises (t1231 t1233))
% 23.38/23.62 (step t1235 (cl (= (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) false)) :rule resolution :premises (t1218 t1234))
% 23.38/23.62 (step t1236 (cl (= (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c7 tptp.sk_c5) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c7 tptp.sk_c5) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) false))) :rule cong :premises (t1214 t1235))
% 23.38/23.62 (step t1237 (cl (= (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c7 tptp.sk_c5) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) false) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c7 tptp.sk_c5) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))))) :rule all_simplify)
% 23.38/23.62 (step t1238 (cl (= (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c7 tptp.sk_c5) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c7 tptp.sk_c5) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))))) :rule trans :premises (t1236 t1237))
% 23.38/23.62 (step t1239 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c7 tptp.sk_c5) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c7 tptp.sk_c5) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule implies_neg1)
% 23.38/23.62 (anchor :step t1240)
% 23.38/23.62 (assume t1240.a0 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))
% 23.38/23.62 (assume t1240.a1 (= tptp.sk_c7 tptp.sk_c5))
% 23.38/23.62 (assume t1240.a2 (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))
% 23.38/23.62 (assume t1240.a3 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 23.38/23.62 (step t1240.t1 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c7 tptp.sk_c5)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule and_neg)
% 23.38/23.62 (step t1240.t2 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule resolution :premises (t1240.t1 t1240.a3 t1240.a1 t1240.a0 t1240.a2))
% 23.38/23.62 (step t1240 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c7 tptp.sk_c5)) (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule subproof :discharge (t1240.a0 t1240.a1 t1240.a2 t1240.a3))
% 23.38/23.62 (step t1241 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c7 tptp.sk_c5) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule and_pos)
% 23.38/23.62 (step t1242 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c7 tptp.sk_c5) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 tptp.sk_c5)) :rule and_pos)
% 23.38/23.62 (step t1243 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c7 tptp.sk_c5) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_pos)
% 23.38/23.62 (step t1244 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c7 tptp.sk_c5) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 23.38/23.62 (step t1245 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c7 tptp.sk_c5) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c7 tptp.sk_c5) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c7 tptp.sk_c5) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c7 tptp.sk_c5) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule resolution :premises (t1240 t1241 t1242 t1243 t1244))
% 23.38/23.62 (step t1246 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c7 tptp.sk_c5) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c7 tptp.sk_c5) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c7 tptp.sk_c5) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c7 tptp.sk_c5) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule reordering :premises (t1245))
% 23.38/23.62 (step t1247 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c7 tptp.sk_c5) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule contraction :premises (t1246))
% 23.38/23.62 (step t1248 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c7 tptp.sk_c5) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule resolution :premises (t1239 t1247))
% 23.38/23.62 (step t1249 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c7 tptp.sk_c5) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule implies_neg2)
% 23.38/23.62 (step t1250 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c7 tptp.sk_c5) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c7 tptp.sk_c5) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule resolution :premises (t1248 t1249))
% 23.38/23.62 (step t1251 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c7 tptp.sk_c5) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 tptp.sk_c5) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule contraction :premises (t1250))
% 23.38/23.62 (step t1252 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c7 tptp.sk_c5) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule resolution :premises (t1213 t1238 t1251))
% 23.38/23.62 (step t1253 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c7 tptp.sk_c5)) (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule not_and :premises (t1252))
% 23.38/23.62 (step t1254 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c7 tptp.sk_c5)) (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule or_neg)
% 23.38/23.62 (step t1255 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c7 tptp.sk_c5)) (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (not (= tptp.sk_c7 tptp.sk_c5)))) :rule or_neg)
% 23.38/23.62 (step t1256 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c7 tptp.sk_c5)) (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))))) :rule or_neg)
% 23.38/23.62 (step t1257 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c7 tptp.sk_c5)) (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule or_neg)
% 23.38/23.62 (step t1258 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c7 tptp.sk_c5)) (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c7 tptp.sk_c5)) (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c7 tptp.sk_c5)) (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c7 tptp.sk_c5)) (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule resolution :premises (t1253 t1254 t1255 t1256 t1257))
% 23.38/23.62 (step t1259 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c7 tptp.sk_c5)) (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule contraction :premises (t1258))
% 23.38/23.62 (step t1260 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule resolution :premises (t1200 t1212 t1259))
% 23.38/23.62 (step t1261 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule or :premises (t1260))
% 23.38/23.62 (step t1262 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c7 tptp.sk_c5))) :rule reordering :premises (t1261))
% 23.38/23.62 (step t1263 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_neg)
% 23.38/23.62 (step t1264 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule implies_neg1)
% 23.38/23.62 (anchor :step t1265)
% 23.38/23.62 (assume t1265.a0 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))
% 23.38/23.62 (assume t1265.a1 (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))
% 23.38/23.62 (step t1265.t1 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule implies_neg1)
% 23.38/23.62 (anchor :step t1265.t2)
% 23.38/23.62 (assume t1265.t2.a0 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))
% 23.38/23.62 (assume t1265.t2.a1 (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))
% 23.38/23.62 (step t1265.t2.t1 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c5)) :rule symm :premises (t1265.t2.a1))
% 23.38/23.62 (step t1265.t2.t2 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule symm :premises (t1265.t2.t1))
% 23.38/23.62 (step t1265.t2.t3 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t1265.t2.a0))
% 23.38/23.62 (step t1265.t2.t4 (cl (= tptp.sk_c5 tptp.sk_c7)) :rule trans :premises (t1265.t2.t2 t1265.t2.t3))
% 23.38/23.62 (step t1265.t2.t5 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 23.38/23.62 (step t1265.t2.t6 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t1265.t2.t4 t1265.t2.t5))
% 23.38/23.62 (step t1265.t2.t7 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t1265.t2.t2 t1265.t2.t6))
% 23.38/23.62 (step t1265.t2 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule subproof :discharge (t1265.t2.a0 t1265.t2.a1))
% 23.38/23.62 (step t1265.t3 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule and_pos)
% 23.38/23.62 (step t1265.t4 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule and_pos)
% 23.38/23.62 (step t1265.t5 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule resolution :premises (t1265.t2 t1265.t3 t1265.t4))
% 23.38/23.62 (step t1265.t6 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule reordering :premises (t1265.t5))
% 23.38/23.62 (step t1265.t7 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule contraction :premises (t1265.t6))
% 23.38/23.62 (step t1265.t8 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule resolution :premises (t1265.t1 t1265.t7))
% 23.38/23.62 (step t1265.t9 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule implies_neg2)
% 23.38/23.62 (step t1265.t10 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule resolution :premises (t1265.t8 t1265.t9))
% 23.38/23.62 (step t1265.t11 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule contraction :premises (t1265.t10))
% 23.38/23.62 (step t1265.t12 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule implies :premises (t1265.t11))
% 23.38/23.62 (step t1265.t13 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule and_neg)
% 23.38/23.62 (step t1265.t14 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule resolution :premises (t1265.t13 t1265.a0 t1265.a1))
% 23.38/23.62 (step t1265.t15 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule resolution :premises (t1265.t12 t1265.t14))
% 23.38/23.62 (step t1265 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule subproof :discharge (t1265.a0 t1265.a1))
% 23.38/23.62 (step t1266 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule and_pos)
% 23.38/23.62 (step t1267 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) :rule and_pos)
% 23.38/23.62 (step t1268 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule resolution :premises (t1265 t1266 t1267))
% 23.38/23.62 (step t1269 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule reordering :premises (t1268))
% 23.38/23.62 (step t1270 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule contraction :premises (t1269))
% 23.38/23.62 (step t1271 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule resolution :premises (t1264 t1270))
% 23.38/23.62 (step t1272 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule implies_neg2)
% 23.38/23.62 (step t1273 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule resolution :premises (t1271 t1272))
% 23.38/23.62 (step t1274 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule contraction :premises (t1273))
% 23.38/23.62 (step t1275 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule implies :premises (t1274))
% 23.38/23.62 (step t1276 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule resolution :premises (t1263 t1275))
% 23.38/23.62 (step t1277 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule reordering :premises (t1276))
% 23.38/23.62 (step t1278 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule resolution :premises (t1277 t1184 t1183))
% 23.38/23.62 (step t1279 (cl (not (= tptp.sk_c7 tptp.sk_c5))) :rule resolution :premises (t1262 t1278 t1184 t483))
% 23.38/23.62 (step t1280 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 23.38/23.62 (anchor :step t1281)
% 23.38/23.62 (assume t1281.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 23.38/23.62 (step t1281.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) :rule forall_inst :args ((:= X tptp.sk_c3) (:= Y tptp.sk_c4) (:= Z tptp.sk_c7)))
% 23.38/23.62 (step t1281.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule or :premises (t1281.t1))
% 23.38/23.62 (step t1281.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule resolution :premises (t1281.t2 t1281.a0))
% 23.38/23.62 (step t1281 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule subproof :discharge (t1281.a0))
% 23.38/23.62 (step t1282 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule resolution :premises (t1280 t1281))
% 23.38/23.62 (step t1283 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) :rule implies_neg2)
% 23.38/23.62 (step t1284 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) :rule resolution :premises (t1282 t1283))
% 23.38/23.62 (step t1285 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) :rule contraction :premises (t1284))
% 23.38/23.62 (step t1286 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule implies :premises (t1285))
% 23.38/23.62 (step t1287 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule resolution :premises (t1286 a2))
% 23.38/23.62 (step t1288 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 23.38/23.62 (anchor :step t1289)
% 23.38/23.62 (assume t1289.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 23.38/23.62 (step t1289.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c3)) (:= Y tptp.sk_c3) (:= Z (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))
% 23.38/23.62 (step t1289.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule or :premises (t1289.t1))
% 23.38/23.62 (step t1289.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule resolution :premises (t1289.t2 t1289.a0))
% 23.38/23.62 (step t1289 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule subproof :discharge (t1289.a0))
% 23.38/23.62 (step t1290 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule resolution :premises (t1288 t1289))
% 23.38/23.62 (step t1291 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) :rule implies_neg2)
% 23.38/23.62 (step t1292 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) :rule resolution :premises (t1290 t1291))
% 23.38/23.62 (step t1293 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)))))) :rule contraction :premises (t1292))
% 23.38/23.62 (step t1294 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule implies :premises (t1293))
% 23.38/23.62 (step t1295 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c5 tptp.sk_c6)) tptp.sk_c7))))) :rule resolution :premises (t1294 a2))
% 23.38/23.62 (step t1296 (cl (=> (forall ((X $$unsorted) (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_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 23.38/23.62 (anchor :step t1297)
% 23.38/23.62 (assume t1297.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 23.38/23.62 (step t1297.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule forall_inst :args ((:= X tptp.sk_c4) (:= Y tptp.sk_c5) (:= Z tptp.sk_c6)))
% 23.38/23.62 (step t1297.t2 (cl (not (forall ((X $$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_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule or :premises (t1297.t1))
% 23.38/23.62 (step t1297.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule resolution :premises (t1297.t2 t1297.a0))
% 23.38/23.62 (step t1297 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule subproof :discharge (t1297.a0))
% 23.38/23.62 (step t1298 (cl (=> (forall ((X $$unsorted) (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_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule resolution :premises (t1296 t1297))
% 23.38/23.62 (step t1299 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule implies_neg2)
% 23.38/23.62 (step t1300 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule resolution :premises (t1298 t1299))
% 23.38/23.62 (step t1301 (cl (=> (forall ((X $$unsorted) (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_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6))))) :rule contraction :premises (t1300))
% 23.38/23.62 (step t1302 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule implies :premises (t1301))
% 23.38/23.62 (step t1303 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c6)))) :rule resolution :premises (t1302 a2))
% 23.38/23.62 (step t1304 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 23.38/23.62 (anchor :step t1305)
% 23.38/23.62 (assume t1305.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 23.38/23.62 (step t1305.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule forall_inst :args ((:= X tptp.sk_c5)))
% 23.38/23.62 (step t1305.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule or :premises (t1305.t1))
% 23.38/23.62 (step t1305.t3 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule resolution :premises (t1305.t2 t1305.a0))
% 23.38/23.62 (step t1305 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule subproof :discharge (t1305.a0))
% 23.38/23.62 (step t1306 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule resolution :premises (t1304 t1305))
% 23.38/23.62 (step t1307 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule implies_neg2)
% 23.38/23.62 (step t1308 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule resolution :premises (t1306 t1307))
% 23.38/23.62 (step t1309 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule contraction :premises (t1308))
% 23.38/23.62 (step t1310 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule implies :premises (t1309))
% 23.38/23.62 (step t1311 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule resolution :premises (t1310 t362))
% 23.38/23.62 (step t1312 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 23.38/23.62 (anchor :step t1313)
% 23.38/23.62 (assume t1313.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 23.38/23.62 (step t1313.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule forall_inst :args ((:= X tptp.sk_c3) (:= Y tptp.sk_c4) (:= Z tptp.sk_c5)))
% 23.38/23.62 (step t1313.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule or :premises (t1313.t1))
% 23.38/23.62 (step t1313.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule resolution :premises (t1313.t2 t1313.a0))
% 23.38/23.62 (step t1313 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule subproof :discharge (t1313.a0))
% 23.38/23.62 (step t1314 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule resolution :premises (t1312 t1313))
% 23.38/23.62 (step t1315 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule implies_neg2)
% 23.38/23.62 (step t1316 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule resolution :premises (t1314 t1315))
% 23.38/23.62 (step t1317 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule contraction :premises (t1316))
% 23.38/23.62 (step t1318 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule implies :premises (t1317))
% 23.38/23.62 (step t1319 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule resolution :premises (t1318 a2))
% 23.38/23.62 (step t1320 (cl (not (= tptp.identity tptp.sk_c6))) :rule resolution :premises (t123 t1184 t1189 t1194 t1199 t1279 t491 t852 t483 t1287 t467 t459 t443 t435 t427 t419 t1295 t411 t403 t1303 t395 t1311 t1319))
% 23.38/23.62 (step t1321 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 23.38/23.62 (anchor :step t1322)
% 23.38/23.62 (assume t1322.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 23.38/23.62 (step t1322.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule forall_inst :args ((:= X tptp.sk_c6)))
% 23.38/23.62 (step t1322.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule or :premises (t1322.t1))
% 23.38/23.62 (step t1322.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule resolution :premises (t1322.t2 t1322.a0))
% 23.38/23.62 (step t1322 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule subproof :discharge (t1322.a0))
% 23.38/23.62 (step t1323 (cl (=> (forall ((X $$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 (t1321 t1322))
% 23.38/23.62 (step t1324 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule implies_neg2)
% 23.38/23.62 (step t1325 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule resolution :premises (t1323 t1324))
% 23.38/23.62 (step t1326 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule contraction :premises (t1325))
% 23.38/23.62 (step t1327 (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 (t1326))
% 23.38/23.62 (step t1328 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule resolution :premises (t1327 t335))
% 23.38/23.62 (step t1329 (cl) :rule resolution :premises (t80 t88 t1320 t1194 t1189 t395 t403 t411 t419 t1328 t507))
% 23.38/23.62
% 23.38/23.63 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.bk4ONT0TRm/cvc5---1.0.5_26472.smt2
% 23.38/23.63 % cvc5---1.0.5 exiting
% 23.38/23.63 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------